{"id":17712,"date":"2026-05-02T19:15:05","date_gmt":"2026-05-02T13:15:05","guid":{"rendered":"https:\/\/mcqacademy.com\/en\/mcq\/nature-of-roots-for-parameter-3-2\/"},"modified":"2026-05-02T19:15:05","modified_gmt":"2026-05-02T13:15:05","slug":"nature-of-roots-for-parameter-3-2","status":"publish","type":"mcq","link":"https:\/\/mcqacademy.com\/en\/mcq\/nature-of-roots-for-parameter-3-2\/","title":{"rendered":"Nature Of Roots For Parameter 3"},"content":{"rendered":"<p>For the quadratic equation x^2 + (1)x + 3 = 0, determine the nature of its roots.<\/p>\n\n<ul class=\"quiz-options wp-block-list\">\n<li>no real root<\/li>\n<li>two equal real roots<\/li>\n<li>two distinct real roots<\/li>\n<li>one rational and one irrational root<\/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-17712","mcq","type-mcq","status-publish","hentry","topic-algebra","subject-mathematics","education_level-hsc"],"mcq_note":"Think of this as a discriminant question. For a quadratic equation ax^2 + bx + c = 0, first identify a = 1, b = 1, and c = 3. Now calculate D = b^2 - 4ac = (1)^2 - 4(1)(3) = -11. Since D &lt; 0, the equation has no real roots. A negative discriminant means the square root part of the quadratic formula is not real.","mcq_options":[{"right":"yes","answer":"no real root"},{"right":"no","answer":"two equal real roots"},{"right":"no","answer":"two distinct real roots"},{"right":"no","answer":"one rational and one irrational root"}],"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\/17712","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=17712"}],"wp:attachment":[{"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/media?parent=17712"}],"wp:term":[{"taxonomy":"topic","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/topic?post=17712"},{"taxonomy":"subject","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/subject?post=17712"},{"taxonomy":"education_level","embeddable":true,"href":"https:\/\/mcqacademy.com\/en\/wp-json\/wp\/v2\/education_level?post=17712"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}