{"id":18135,"date":"2026-05-02T22:19:28","date_gmt":"2026-05-02T16:19:28","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/symmetric-expression-in-two-roots-5\/"},"modified":"2026-05-02T22:19:28","modified_gmt":"2026-05-02T16:19:28","slug":"symmetric-expression-in-two-roots-5","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/symmetric-expression-in-two-roots-5\/","title":{"rendered":"Symmetric Expression In Two Roots 5"},"content":{"rendered":"<p>If \u03b1+\u03b2=-5 and \u03b1\u03b2=7, find 1\/\u03b1 + 1\/\u03b2.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>2\/7<\/li>\n<li>-5\/7<\/li>\n<li>-7\/5<\/li>\n<li>-5\/8<\/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-18135","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"When a question gives \u03b1+\u03b2 and \u03b1\u03b2, try to rewrite the required expression using only these two quantities. For reciprocals, use 1\/\u03b1 + 1\/\u03b2 = (\u03b1+\u03b2)\/(\u03b1\u03b2), because the common denominator is \u03b1\u03b2. Here, 1\/\u03b1+1\/\u03b2=(\u03b1+\u03b2)\/(\u03b1\u03b2). Therefore the value is -5\/7=-5\/7. Notice that this method avoids finding \u03b1 and \u03b2 separately.","mcq_options":[{"right":"no","answer":"2\/7"},{"right":"yes","answer":"-5\/7"},{"right":"no","answer":"-7\/5"},{"right":"no","answer":"-5\/8"}],"multi_answers":"no","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\/18135","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=18135"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18135"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18135"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18135"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}