{"id":2138,"date":"2026-10-14T22:41:59","date_gmt":"2026-10-14T21:41:59","guid":{"rendered":"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-equacao-diofantina-linear\/"},"modified":"2026-10-14T22:41:59","modified_gmt":"2026-10-14T21:41:59","slug":"calculadora-equacao-diofantina-linear","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-equacao-diofantina-linear\/","title":{"rendered":"Calculadora de equa\u00e7\u00e3o diofantina linear"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Resolva ax + by = c em n\u00fameros inteiros<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2138\" data-favorite-title=\"Equa\u00e7\u00e3o diofantina linear\" data-favorite-url=\"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-equacao-diofantina-linear\/\" data-favorite-excerpt=\"Resolve a equa\u00e7\u00e3o diofantina linear ax + by = c em inteiros. Digite os coeficientes a, b e c para verificar se existem solu\u00e7\u00f5es, obter uma solu\u00e7\u00e3o particular e a fam\u00edlia completa x = x\u2080 + (b\/g)t, y = y\u2080 \u2212 (a\/g)t.\" aria-label=\"Adicionar aos favoritos\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/pt\/matematica\/calculadora-equacao-diofantina-linear\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2138\" data-post=\"2138\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Campos de entrada<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Coeficiente de x (a)<\/label><div class=\"term\">a<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"coeficiente_de_x_a\" id=\"field-1\" placeholder=\"e.g. 12\" step=\"1\" value=\"12\"\/><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Coeficiente de y (b)<\/label><div class=\"term\">b<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"coeficiente_de_y_b\" id=\"field-2\" placeholder=\"e.g. 18\" step=\"1\" value=\"18\"\/><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Termo independente (c)<\/label><div class=\"term\">c<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"termo_independente_c\" id=\"field-3\" placeholder=\"e.g. 30\" step=\"1\" value=\"30\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Recalcular\" id=\"calculate-button\" data-post=\"2138\">Calcular<\/button><button type=\"reset\">Redefinir<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Calcular automaticamente<\/label><small>Se ativado, o resultado \u00e9 atualizado automaticamente quando voc\u00ea altera qualquer valor.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Resultados da equa\u00e7\u00e3o diofantina<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Existem solu\u00e7\u00f5es inteiras?<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Uma solu\u00e7\u00e3o (x\u2080, y\u2080)<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Solu\u00e7\u00e3o geral em n\u00fameros inteiros<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Etapas da resolu\u00e7\u00e3o<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Copiar resultado\" aria-label=\"Copiar resultado\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Copiar link para este c\u00e1lculo<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Deixar um coment\u00e1rio<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"2138\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">O que voc\u00ea achou deste resultado?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Curti <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">\u00datil <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Confuso <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Decepcionado <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Impreciso <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>F\u00f3rmula da equa\u00e7\u00e3o diofantina linear<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">F\u00f3rmula<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ ax + by = c, \\qquad a, b, c \\in \\mathbb{Z} \\]\n\\[ g = \\gcd(a, b) \\]\n\\[ \\text{Existem solu\u00e7\u00f5es inteiras} \\iff g \\mid c \\]\n\\[ x = x_0 + \\frac{b}{g}\\,t, \\qquad y = y_0 - \\frac{a}{g}\\,t, \\qquad t \\in \\mathbb{Z} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Onde:<\/strong><\/p>\n<ul>\n<li>\\(a\\), \\(b\\) \u2014 coeficientes inteiros de \\(x\\) e \\(y\\)<\/li>\n<li>\\(c\\) \u2014 o termo independente, um n\u00famero inteiro<\/li>\n<li>\\(g = \\gcd(a, b)\\) \u2014 o m\u00e1ximo divisor comum (mdc) dos coeficientes<\/li>\n<li>\\((x_0, y_0)\\) \u2014 uma solu\u00e7\u00e3o particular, obtida da identidade de B\u00e9zout \\(g = s\\,a + t\\,b\\) multiplicando por \\(c\/g\\)<\/li>\n<li>\\(t\\) \u2014 um par\u00e2metro inteiro arbitr\u00e1rio que gera todas as solu\u00e7\u00f5es<\/li>\n<\/ul>\n<p>A equa\u00e7\u00e3o tem solu\u00e7\u00f5es inteiras exatamente quando \\(\\gcd(a,b)\\) divide \\(c\\). Quando isso acontece, existem infinitas: partindo de uma solu\u00e7\u00e3o \\((x_0, y_0)\\), qualquer outra \u00e9 obtida somando \\(b\/g\\) a \\(x\\) e subtraindo \\(a\/g\\) de \\(y\\) o mesmo n\u00famero de vezes \\(t\\).<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Equa\u00e7\u00e3o diofantina linear \u2013 Exemplo de c\u00e1lculo<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Exemplo:<\/strong> resolver \\(12x + 18y = 30\\) em inteiros (os valores padr\u00e3o da calculadora).<\/p>\n<p>\\[ \\gcd(12, 18): \\quad 18 = 1 \\cdot 12 + 6, \\quad 12 = 2 \\cdot 6 + 0 \\implies \\gcd(12, 18) = 6 \\]<\/p>\n<p>\\[ 6 \\mid 30 \\implies \\text{existem solu\u00e7\u00f5es} \\]<\/p>\n<p>\\[ \\text{B\u00e9zout: } 6 = (-1) \\cdot 12 + 1 \\cdot 18, \\qquad \\frac{c}{g} = \\frac{30}{6} = 5 \\]<\/p>\n<p>\\[ x_0 = -1 \\cdot 5 = -5, \\qquad y_0 = 1 \\cdot 5 = 5 \\]<\/p>\n<p>\\[ 12 \\cdot (-5) + 18 \\cdot 5 = -60 + 90 = 30 \\;\\checkmark \\]<\/p>\n<p>Levando \\(x_0\\) para o intervalo \\(0 \\le x &lt; |b\/g| = 3\\), obt\u00e9m-se a solu\u00e7\u00e3o particular equivalente \\((1, 1)\\), pois \\(12 \\cdot 1 + 18 \\cdot 1 = 30\\).<\/p>\n<p><strong>Resultado:<\/strong> todas as solu\u00e7\u00f5es inteiras s\u00e3o \\(x = 1 + 3t\\), \\(y = 1 - 2t\\), para qualquer inteiro \\(t\\); por exemplo \\((1, 1)\\), \\((4, -1)\\), \\((-2, 3)\\).<\/p>\n<p>\n\r\n<\/section>\n<h2>Como usar a calculadora<\/h2>\n<ol>\n<li>Digite o coeficiente inteiro de \\(x\\) no campo <strong>Coeficiente de x (a)<\/strong>.<\/li>\n<li>Digite o coeficiente inteiro de \\(y\\) no campo <strong>Coeficiente de y (b)<\/strong>.<\/li>\n<li>Digite o termo independente no campo <strong>Termo independente (c)<\/strong>.<\/li>\n<li>Leia os blocos de resultado: <strong>Existem solu\u00e7\u00f5es inteiras?<\/strong> informa se \\(\\gcd(a,b)\\) divide \\(c\\); <strong>Uma solu\u00e7\u00e3o (x\u2080, y\u2080)<\/strong> apresenta uma solu\u00e7\u00e3o particular verificada; <strong>Solu\u00e7\u00e3o inteira geral<\/strong> traz a fam\u00edlia completa com o par\u00e2metro \\(t\\); <strong>Passos da solu\u00e7\u00e3o<\/strong> mostra o algoritmo de Euclides, os coeficientes de B\u00e9zout e o racioc\u00ednio.<\/li>\n<\/ol>\n<p>Os tr\u00eas valores digitados precisam ser n\u00fameros inteiros (positivos, negativos ou zero). Se voc\u00ea digitar um valor n\u00e3o inteiro, a calculadora pedir\u00e1 um n\u00famero inteiro, pois equa\u00e7\u00f5es diofantinas s\u00e3o, por defini\u00e7\u00e3o, resolvidas apenas no conjunto dos inteiros.<\/p>\n<h2>O que \u00e9 uma equa\u00e7\u00e3o diofantina linear?<\/h2>\n<p>Uma equa\u00e7\u00e3o diofantina \u00e9 uma equa\u00e7\u00e3o cujas solu\u00e7\u00f5es devem ser n\u00fameros inteiros. A equa\u00e7\u00e3o diofantina linear \\(ax + by = c\\) \u00e9 o tipo mais simples: ela pede todos os pares de inteiros \\((x, y)\\) que a satisfazem exatamente, sem fra\u00e7\u00f5es ou decimais. Equa\u00e7\u00f5es assim surgem naturalmente sempre que as quantidades s\u00e3o indivis\u00edveis \u2014 moedas de valores fixos, caixas de itens, pessoas ou ladrilhos.<\/p>\n<p>O fato central \u00e9 a condi\u00e7\u00e3o de solubilidade: \\(ax + by\\) \u00e9 sempre m\u00faltiplo de \\(\\gcd(a, b)\\), portanto \\(c\\) tamb\u00e9m precisa ser m\u00faltiplo de \\(\\gcd(a, b)\\). Por exemplo, \\(6x + 10y\\) \u00e9 sempre par, ent\u00e3o \\(6x + 10y = 7\\) n\u00e3o tem solu\u00e7\u00f5es inteiras, por mais que voc\u00ea procure. Quando a condi\u00e7\u00e3o \u00e9 satisfeita, a identidade de B\u00e9zout garante pelo menos uma solu\u00e7\u00e3o, que o algoritmo de Euclides estendido encontra com efici\u00eancia.<\/p>\n<p>Interpretando o resultado: se existem solu\u00e7\u00f5es, elas s\u00e3o infinitas e formam uma progress\u00e3o aritm\u00e9tica. A solu\u00e7\u00e3o geral \\(x = x_0 + (b\/g)t\\), \\(y = y_0 - (a\/g)t\\) relaciona todas \u2014 cada passo do par\u00e2metro \\(t\\) aumenta \\(x\\) em \\(b\/g\\) e diminui \\(y\\) em \\(a\/g\\), mantendo \\(ax + by\\) constante. Se voc\u00ea precisa de solu\u00e7\u00f5es em um intervalo espec\u00edfico (por exemplo, n\u00e3o negativas), substitua alguns valores de \\(t\\) e fique apenas com os que servem.<\/p>\n<h2>Premissas, limita\u00e7\u00f5es e dicas<\/h2>\n<ul>\n<li><strong>Apenas inteiros.<\/strong> Os coeficientes devem ser n\u00fameros inteiros; a equa\u00e7\u00e3o n\u00e3o \u00e9 resolvida nos racionais nem nos reais. Nos reais, \\(ax + by = c\\) sempre tem solu\u00e7\u00f5es quando \\(a\\) ou \\(b\\) \u00e9 diferente de zero \u2014 \u00e9 justamente a restri\u00e7\u00e3o aos inteiros que torna o problema interessante.<\/li>\n<li><strong>Limites de tamanho.<\/strong> O c\u00e1lculo usa aritm\u00e9tica padr\u00e3o, ent\u00e3o mantenha os coeficientes dentro da faixa segura de inteiros (cerca de 15 d\u00edgitos) para evitar problemas de precis\u00e3o.<\/li>\n<li><strong>Casos degenerados s\u00e3o tratados.<\/strong> Se \\(a = b = 0\\), a equa\u00e7\u00e3o \u00e9 sempre verdadeira (\\(c = 0\\), qualquer par serve) ou nunca \u00e9 verdadeira. Se exatamente um coeficiente \u00e9 zero, a equa\u00e7\u00e3o tem uma \u00fanica vari\u00e1vel e a calculadora a resolve diretamente.<\/li>\n<li><strong>Qualquer solu\u00e7\u00e3o particular serve.<\/strong> O par \\((x_0, y_0)\\) n\u00e3o \u00e9 \u00fanico \u2014 a calculadora o desloca para uma forma compacta com \\(0 \\le x_0 &lt; |b\/g|\\), mas qualquer escolha gera o mesmo conjunto completo de solu\u00e7\u00f5es por meio do par\u00e2metro \\(t\\).<\/li>\n<li><strong>Conferindo a resposta.<\/strong> Sempre verifique por substitui\u00e7\u00e3o: calcule \\(a x_0 + b y_0\\) e confirme que o resultado \u00e9 igual a \\(c\\). A calculadora faz essa verifica\u00e7\u00e3o para voc\u00ea no resultado.<\/li>\n<\/ul>\n<p>Se o seu problema envolver duas equa\u00e7\u00f5es lineares ao mesmo tempo, um sistema como \\(ax + by = c\\), \\(dx + ey = f\\) \u00e9 resolvido pelo <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/metodo-adicao\/\">m\u00e9todo da elimina\u00e7\u00e3o<\/a>, e n\u00e3o por divisibilidade do mdc. O racioc\u00ednio diofantino tamb\u00e9m sustenta t\u00f3picos como <a href=\"https:\/\/wpcalc.com\/pt\/matematica\/variacao-direta\/\">proporcionalidade direta<\/a>, em que duas grandezas de valores inteiros crescem em propor\u00e7\u00e3o fixa, e \u00e9 uma ferramenta cl\u00e1ssica em problemas de olimp\u00edadas e de teoria dos n\u00fameros.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Resolve a equa\u00e7\u00e3o diofantina linear ax + by = c em inteiros. Digite os coeficientes a, b e c para verificar se existem solu\u00e7\u00f5es, obter uma solu\u00e7\u00e3o particular e a fam\u00edlia completa x = x\u2080 + (b\/g)t, y = y\u2080 \u2212 (a\/g)t.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[16],"class_list":["post-2138","post","type-post","status-publish","format-standard","hentry","category-matematica","tag-algebra"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2138","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/comments?post=2138"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/posts\/2138\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/media?parent=2138"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/categories?post=2138"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pt\/wp-json\/wp\/v2\/tags?post=2138"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}