I 2x2 15x 28 0 II 2y2 19y 45 0 ........

Quantitative Aptitude (SBI-PO) Quadratic Equations

Direction: In the following question two equations are given in variables x and y. You have to solve these equations and determine the relation between x and y.

I. 2x² + 15x + 28 = 0

II. 2y² + 19y + 45 = 0

y > x

x > y

x ≤ y

x ≥ y

x = y or no relation can be established

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Explanation:

2x² + 15x + 28 = 0
⇒ 2x² + 8x + 7x + 28 = 0
⇒ 2x(x + 4) + 7(x + 4) = 0
⇒ (2x + 7)(x + 4) = 0
⇒ x = −4,-7/2
2y² + 19y + 45 = 0
⇒ 2y² + 10y + 9y + 45 = 0
⇒ 2y(y + 5) +9(y + 5) = 0
⇒ (y + 5)(2y + 9) = 0
⇒ y = −5,-9/2
Thus, x > y