{"id":2283,"date":"2026-05-18T18:38:53","date_gmt":"2026-05-18T18:38:53","guid":{"rendered":"https:\/\/mcqacademy.com\/zh\/mcq\/root-expression-from-sum-and-product-7-30\/"},"modified":"2026-05-18T18:38:53","modified_gmt":"2026-05-18T18:38:53","slug":"root-expression-from-sum-and-product-7-30","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/zh\/mcq\/root-expression-from-sum-and-product-7-30\/","title":{"rendered":"\u7531\u6839\u7684\u548c\u4e0e\u79ef\u6c42\u6839\u5f0f 7 -30"},"content":{"rendered":"<p>\u5982\u679c \u03b1 \u548c \u03b2 \u662f\u65b9\u7a0b x^2 &#8211; (7)x + (-30) = 0 \u7684\u6839\uff0c\u6c42 \u03b1^2 + \u03b2^2\u3002<\/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":[1079,1106,1105],"subject":[1080],"education_level":[5],"class_list":["post-2283","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-symmetric-expressions","topic-vietas-formulas","subject-algebra","education_level-hsc"],"mcq_note":"\u4f7f\u7528\u97e6\u8fbe\u5b9a\u7406\uff0c\u4e0d\u5fc5\u76f4\u63a5\u89e3\u8fd9\u4e2a\u4e8c\u6b21\u65b9\u7a0b\u3002\u5bf9\u4e8e x^2 - (7)x + (-30) = 0\uff0c\u6839 \u03b1 \u548c \u03b2 \u6ee1\u8db3 \u03b1 + \u03b2 = 7\uff0c\u03b1\u03b2 = -30\u3002\u9898\u76ee\u8981\u6c42\u7684\u662f \u03b1^2 + \u03b2^2\u3002\u5229\u7528\u6052\u7b49\u5f0f \u03b1^2 + \u03b2^2 = (\u03b1 + \u03b2)^2 - 2\u03b1\u03b2\u3002\u6240\u4ee5 \u03b1^2 + \u03b2^2 = (7)^2 - 2(-30) = 49 - (-60) = 109\u3002\u56e0\u6b64\u6b63\u786e\u7b54\u6848\u662f 109\u3002","mcq_options":[{"right":"yes","answer":"109"},{"right":"no","answer":"886"},{"right":"no","answer":"117"},{"right":"no","answer":"-11"}],"multi_answers":"no","subject_terms":[{"id":1080,"title":"Algebra","slug":"algebra"}],"topic_terms":[{"id":1079,"title":"Algebra","slug":"algebra"},{"id":1106,"title":"Symmetric Expressions","slug":"symmetric-expressions"},{"id":1105,"title":"Vieta's Formulas","slug":"vietas-formulas"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/mcq\/2283","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/comments?post=2283"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/media?parent=2283"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/topic?post=2283"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/subject?post=2283"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/zh\/wp-json\/wp\/v2\/education_level?post=2283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}