{"id":18378,"date":"2026-05-03T04:26:20","date_gmt":"2026-05-02T22:26:20","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-8\/"},"modified":"2026-05-03T04:26:20","modified_gmt":"2026-05-02T22:26:20","slug":"radical-equation-exact-solution-8","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-8\/","title":{"rendered":"Radical Equation Exact Solution 8"},"content":{"rendered":"<p>Solve \u221a(x + -2) = 9.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-83<\/li>\n<li>11<\/li>\n<li>83<\/li>\n<li>79<\/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-18378","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Start by remembering that the square root symbol gives the non-negative root. The equation says that \u221a(x - 2) is 9. To remove the square root, square both sides: x - 2 = 9\u00b2 = 81. Now isolate x by moving the constant to the other side, so x = 81 + 2 = 83. Always check radical equations: substituting x = 83 makes the expression inside the root equal to 81, and \u221a81 = 9. So the correct answer is 83.","mcq_options":[{"right":"no","answer":"-83"},{"right":"no","answer":"11"},{"right":"yes","answer":"83"},{"right":"no","answer":"79"}],"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\/18378","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=18378"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18378"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18378"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18378"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18378"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}