{"id":2418,"date":"2026-05-05T16:28:52","date_gmt":"2026-05-05T16:28:52","guid":{"rendered":"https:\/\/mcqacademy.com\/ar\/mcq\/root-expression-from-sum-and-product-7-30\/"},"modified":"2026-05-05T16:28:52","modified_gmt":"2026-05-05T16:28:52","slug":"root-expression-from-sum-and-product-7-30","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/ar\/mcq\/root-expression-from-sum-and-product-7-30\/","title":{"rendered":"\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062c\u0630\u0648\u0631 \u0645\u0646 \u0627\u0644\u0645\u062c\u0645\u0648\u0639 \u0648\u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 7 -30"},"content":{"rendered":"<p>\u0625\u0630\u0627 \u0643\u0627\u0646 \u03b1 \u0648 \u03b2 \u062c\u0630\u0631\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 x^2 &#8211; (7)x + (-30) = 0\u060c \u0641\u0623\u0648\u062c\u062f \u03b1^2 + \u03b2^2.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>109<\/li>\n<li>886<\/li>\n<li>117<\/li>\n<li>-11<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[909],"subject":[123],"education_level":[5],"class_list":["post-2418","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"\u0627\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a \u0641\u064a\u064a\u062a\u0627 \u0628\u062f\u0644\u064b\u0627 \u0645\u0646 \u062d\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0639\u064a\u0629 \u0645\u0628\u0627\u0634\u0631\u0629. \u0641\u064a x^2 - (7)x + (-30) = 0\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u062c\u0630\u0631\u0627\u0646 \u03b1 \u0648 \u03b2 \u0628\u062d\u064a\u062b \u03b1 + \u03b2 = 7 \u0648 \u03b1\u03b2 = -30. \u0627\u0644\u0645\u0637\u0644\u0648\u0628 \u0647\u0648 \u03b1^2 + \u03b2^2. \u0646\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0647\u0648\u064a\u0629: \u03b1^2 + \u03b2^2 = (\u03b1 + \u03b2)^2 - 2\u03b1\u03b2. \u0644\u0630\u0644\u0643 \u03b1^2 + \u03b2^2 = (7)^2 - 2(-30) = 49 - (-60) = 109. \u0648\u0644\u0647\u0630\u0627 \u0641\u0627\u0644\u062c\u0648\u0627\u0628 \u0627\u0644\u0635\u062d\u064a\u062d \u0647\u0648 109.","mcq_options":[{"right":"yes","answer":"109"},{"right":"no","answer":"886"},{"right":"no","answer":"117"},{"right":"no","answer":"-11"}],"multi_answers":"no","subject_terms":[{"id":123,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":909,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq\/2418","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/comments?post=2418"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/media?parent=2418"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/topic?post=2418"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/subject?post=2418"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/ar\/wp-json\/wp\/v2\/education_level?post=2418"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}