{"id":18384,"date":"2026-05-03T04:27:01","date_gmt":"2026-05-02T22:27:01","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-14\/"},"modified":"2026-05-03T04:27:01","modified_gmt":"2026-05-02T22:27:01","slug":"radical-equation-exact-solution-14","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-14\/","title":{"rendered":"Radical Equation Exact Solution 14"},"content":{"rendered":"<p>Solve \u221a(x + -2) = 7.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>47<\/li>\n<li>-51<\/li>\n<li>51<\/li>\n<li>9<\/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-18384","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 7. To remove the square root, square both sides: x - 2 = 7\u00b2 = 49. Now isolate x by moving the constant to the other side, so x = 49 + 2 = 51. Always check radical equations: substituting x = 51 makes the expression inside the root equal to 49, and \u221a49 = 7. So the correct answer is 51.","mcq_options":[{"right":"no","answer":"47"},{"right":"no","answer":"-51"},{"right":"yes","answer":"51"},{"right":"no","answer":"9"}],"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\/18384","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=18384"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18384"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18384"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18384"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}