{"id":18419,"date":"2026-05-03T04:31:15","date_gmt":"2026-05-02T22:31:15","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-9\/"},"modified":"2026-05-03T04:31:15","modified_gmt":"2026-05-02T22:31:15","slug":"ordered-pair-system-from-sum-product-9","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-9\/","title":{"rendered":"Ordered Pair System From Sum Product 9"},"content":{"rendered":"<p>Find all ordered pairs (x, y) satisfying x + y = -5 and xy = -14.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(3, -8)<\/li>\n<li>(-5, -14)<\/li>\n<li>(-14, -5)<\/li>\n<li>(-7, 2)<\/li>\n<li>(2, -7)<\/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-18419","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 -5 and product is -14. A useful HSC-level trick is to think of them as roots of the quadratic equation t\u00b2 - (-5)t + (-14) = 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 -5 and product -14. Therefore the correct answer choices are (-7, 2), (2, -7).","mcq_options":[{"right":"no","answer":"(3, -8)"},{"right":"no","answer":"(-5, -14)"},{"right":"no","answer":"(-14, -5)"},{"right":"yes","answer":"(-7, 2)"},{"right":"yes","answer":"(2, -7)"}],"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\/18419","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=18419"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18419"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18419"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18419"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18419"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}