Quadratic Equations

Quantitative Aptitude (RRB NTPC) RRB(NTPC) Exam

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(i) 4x^2 + 9x + 5 =0

(ii) 3y^2 + 5y + 2 =0

y > x

y >= x

No relation exists

x >= y

Explanation:

(i) 4??^2 + 9?? + 5 = 0
4??^2 + 4?? + 5?? + 5 = 0
4??(?? + 1) + 5(?? + 1) = 0
(4?? + 5)(?? + 1) = 0
?? = −1 , − 5/4
(ii) 3??^2 + 5y + 2 = 0
3??^2 + 3y + 2y + 2 = 0
3??(?? + 1) + 2(?? + 1) = 0
(3?? + 2)(?? + 1) = 0
?? = − 2/3 , −1
?? ≥ x

By: Amit Kumar

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