{"id":18428,"date":"2026-05-03T04:32:22","date_gmt":"2026-05-02T22:32:22","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-18\/"},"modified":"2026-05-03T04:32:22","modified_gmt":"2026-05-02T22:32:22","slug":"ordered-pair-system-from-sum-product-18","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/ordered-pair-system-from-sum-product-18\/","title":{"rendered":"Ordered Pair System From Sum Product 18"},"content":{"rendered":"<p>Find all ordered pairs (x, y) satisfying x + y = 1 and xy = -2.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>(-2, 1)<\/li>\n<li>(2, -1)<\/li>\n<li>(1, -2)<\/li>\n<li>(-1, 2)<\/li>\n<li>(0, 1)<\/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-18428","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 1 and product is -2. A useful HSC-level trick is to think of them as roots of the quadratic equation t\u00b2 - (1)t + (-2) = 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 1 and product -2. Therefore the correct answer choices are (2, -1), (-1, 2).","mcq_options":[{"right":"no","answer":"(-2, 1)"},{"right":"yes","answer":"(2, -1)"},{"right":"no","answer":"(1, -2)"},{"right":"yes","answer":"(-1, 2)"},{"right":"no","answer":"(0, 1)"}],"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\/18428","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=18428"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18428"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18428"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18428"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18428"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}