{"id":2312,"date":"2026-05-10T14:25:43","date_gmt":"2026-05-10T14:25:43","guid":{"rendered":"https:\/\/mcqacademy.com\/hi\/mcq\/root-expression-from-sum-and-product-5-14\/"},"modified":"2026-05-10T14:25:43","modified_gmt":"2026-05-10T14:25:43","slug":"root-expression-from-sum-and-product-5-14","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/hi\/mcq\/root-expression-from-sum-and-product-5-14\/","title":{"rendered":"\u092f\u094b\u0917 \u0914\u0930 \u0917\u0941\u0923\u0928\u092b\u0932 \u0938\u0947 \u092e\u0942\u0932\u094b\u0902 \u0915\u093e \u0935\u094d\u092f\u0902\u091c\u0915 -5 -14"},"content":{"rendered":"<p>\u092f\u0926\u093f \u03b1 \u0914\u0930 \u03b2, x^2 &#8211; (-5)x + (-14) = 0 \u0915\u0947 \u092e\u0942\u0932 \u0939\u0948\u0902, \u0924\u094b \u03b1^2 + \u03b2^2 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>59<\/li>\n<li>206<\/li>\n<li>53<\/li>\n<li>-3<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[1020,1046,1045],"subject":[1021],"education_level":[5],"class_list":["post-2312","mcq","type-mcq","status-publish","hentry","topic-algebra","topic-symmetric-expressions","topic-vietas-formulas","subject-algebra","education_level-hsc"],"mcq_note":"\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0938\u0940\u0927\u0947 \u0939\u0932 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u091c\u093e\u092f \u0935\u093f\u090f\u091f\u093e \u0915\u0947 \u0938\u0942\u0924\u094d\u0930\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0940\u091c\u093f\u090f\u0964 x^2 - (-5)x + (-14) = 0 \u0915\u0947 \u0932\u093f\u090f, \u092e\u0942\u0932 \u03b1 \u0914\u0930 \u03b2 \u0939\u094b\u0902\u0917\u0947, \u0907\u0938\u0932\u093f\u090f \u03b1 + \u03b2 = -5 \u0914\u0930 \u03b1\u03b2 = -14\u0964 \u0939\u092e\u0947\u0902 \u03b1^2 + \u03b2^2 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u092a\u0939\u091a\u093e\u0928 \u03b1^2 + \u03b2^2 = (\u03b1 + \u03b2)^2 - 2\u03b1\u03b2 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0947\u0902\u0964 \u0907\u0938\u0932\u093f\u090f \u03b1^2 + \u03b2^2 = (-5)^2 - 2(-14) = 25 - (-28) = 53\u0964 \u0907\u0938\u0940 \u0915\u093e\u0930\u0923 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 53 \u0939\u0948\u0964","mcq_options":[{"right":"no","answer":"59"},{"right":"no","answer":"206"},{"right":"yes","answer":"53"},{"right":"no","answer":"-3"}],"multi_answers":"no","subject_terms":[{"id":1021,"title":"Algebra","slug":"algebra"}],"topic_terms":[{"id":1020,"title":"Algebra","slug":"algebra"},{"id":1046,"title":"Symmetric Expressions","slug":"symmetric-expressions"},{"id":1045,"title":"Vieta's Formulas","slug":"vietas-formulas"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/mcq\/2312","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/comments?post=2312"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/media?parent=2312"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/topic?post=2312"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/subject?post=2312"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/hi\/wp-json\/wp\/v2\/education_level?post=2312"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}