{"id":18411,"date":"2026-05-03T04:30:16","date_gmt":"2026-05-02T22:30:16","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-1\/"},"modified":"2026-05-03T04:30:16","modified_gmt":"2026-05-02T22:30:16","slug":"ordered-pair-system-from-sum-product-1","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-1\/","title":{"rendered":"Ordered Pair System From Sum Product 1"},"content":{"rendered":"<p>Find all ordered pairs (x, y) satisfying x + y = -7 and xy = 12.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(-4, -3)<\/li>\n<li>(-2, -5)<\/li>\n<li>(-7, 12)<\/li>\n<li>(12, -7)<\/li>\n<li>(-3, -4)<\/li>\n<\/ul>\n","protected":false},"author":39,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","topic":[2705],"subject":[1425],"education_level":[1896],"class_list":["post-18411","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Here x and y are two numbers whose sum is -7 and product is 12. A useful HSC-level trick is to think of them as roots of the quadratic equation t\u00b2 - (-7)t + (12) = 0. After factoring or solving that quadratic, we get the two possible numbers. Since the question asks for ordered pairs, the order matters: if the two numbers are different, both (first, second) and (second, first) are valid. Checking the selected pair(s), each one has sum -7 and product 12. Therefore the correct answer choices are (-4, -3), (-3, -4).","mcq_options":[{"right":"yes","answer":"(-4, -3)"},{"right":"no","answer":"(-2, -5)"},{"right":"no","answer":"(-7, 12)"},{"right":"no","answer":"(12, -7)"},{"right":"yes","answer":"(-3, -4)"}],"multi_answers":"yes","subject_terms":[{"id":1425,"title":"Mathematics","slug":"mathematics"}],"topic_terms":[{"id":2705,"title":"Algebra","slug":"algebra"}],"_links":{"self":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq\/18411","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/mcq"}],"about":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/types\/mcq"}],"author":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/users\/39"}],"replies":[{"embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/comments?post=18411"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18411"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18411"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18411"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18411"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}