{"id":18379,"date":"2026-05-03T04:26:27","date_gmt":"2026-05-02T22:26:27","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-9\/"},"modified":"2026-05-03T04:26:27","modified_gmt":"2026-05-02T22:26:27","slug":"radical-equation-exact-solution-9","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/radical-equation-exact-solution-9\/","title":{"rendered":"Radical Equation Exact Solution 9"},"content":{"rendered":"<p>Solve \u221a(x + -3) = 10.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>-103<\/li>\n<li>103<\/li>\n<li>97<\/li>\n<li>13<\/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-18379","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 - 3) is 10. To remove the square root, square both sides: x - 3 = 10\u00b2 = 100. Now isolate x by moving the constant to the other side, so x = 100 + 3 = 103. Always check radical equations: substituting x = 103 makes the expression inside the root equal to 100, and \u221a100 = 10. So the correct answer is 103.","mcq_options":[{"right":"no","answer":"-103"},{"right":"yes","answer":"103"},{"right":"no","answer":"97"},{"right":"no","answer":"13"}],"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\/18379","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=18379"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=18379"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=18379"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=18379"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=18379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}