{"id":163737,"date":"2024-03-07T12:26:42","date_gmt":"2024-03-07T06:56:42","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=163737"},"modified":"2024-03-07T12:26:43","modified_gmt":"2024-03-07T06:56:43","slug":"i-5x2-18x-9-0-ii-4y2-9y-9-0","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/i-5x2-18x-9-0-ii-4y2-9y-9-0\/","title":{"rendered":"I: 5×2 \u2013 18x + 9 = 0 II: 4y2 + 9y – 9 = 0"},"content":{"rendered":"\n

Direction: Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as,<\/p>\n\n\n\n

Q.          <\/p>\n\n\n\n

I: 5x2<\/sup> \u2013 18x + 9 = 0<\/p>\n\n\n\n

II: 4y2<\/sup> + 9y – 9 = 0<\/p>\n\n\n\n

A.            x < y<\/p>\n\n\n\n

B.            x > y<\/p>\n\n\n\n

C.            x \u2264 y<\/p>\n\n\n\n

D.            x \u2265 y<\/p>\n\n\n\n

E.            Relationship between x and y cannot be determined<\/strong><\/p>\n\n\n\n

Sol:<\/p>\n\n\n\n

From I =>5×2 \u2013 18x + 9 = 0<\/p>\n\n\n\n

5×2 \u2013 15x \u2013 3x + 9 = 0<\/p>\n\n\n\n

5x(x – 3) \u2013 3(x – 3) = 0<\/p>\n\n\n\n

=> (5x \u2013 3) (x \u2013 3) = 0<\/p>\n\n\n\n

=> x = 3, 3\/5<\/p>\n\n\n\n

From II =>4y2 + 9y – 9 = 0<\/p>\n\n\n\n

4y2 + 12y \u2013 3y – 9 = 0<\/p>\n\n\n\n

4y(y + 3) – 3(y + 3) = 0<\/p>\n\n\n\n

=> (y + 3) (4y \u2013 3) = 0<\/p>\n\n\n\n

=> y = -3, 3\/4<\/p>\n\n\n\n

Hence, relationship between x and y cannot be determined<\/p>\n","protected":false},"excerpt":{"rendered":"

Direction: Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as, Q.           I: 5×2 \u2013 18x + 9 = 0 II: 4y2 + 9y – 9 = 0 A.            x < y B.            x > y C.            x \u2264 y […]<\/p>\n","protected":false},"author":419,"featured_media":163738,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5138],"tags":[5139],"offerexpiration":[],"class_list":["post-163737","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantitative-aptitude","tag-quantitative-aptitude"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163737","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=163737"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163737\/revisions"}],"predecessor-version":[{"id":163739,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/163737\/revisions\/163739"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/163738"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=163737"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=163737"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=163737"},{"taxonomy":"offerexpiration","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/offerexpiration?post=163737"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}