Quadratic Equations

Quantitative Aptitude (SBI-PO)

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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. 4x² + 13x + 9 = 0

II. 4y² + 20y + 25 = 0

y > x

x > y

x ≤ y

x ≥ y

x = y or no relation can be established

Explanation:

4x² + 13x + 9 = 0
⇒ 4x² + 4x + 9x + 9 = 0
⇒ 4x(x + 1) + 9(x + 1) = 0
⇒ (4x + 9)(x + 1) = 0
x = -9/4, −1
4y² + 20y + 25 = 0
⇒ 4y² + 10y + 10y + 25 = 0
⇒ 2y(2y + 5) + 5(2y + 5) = 0
⇒ (2y + 5)(2y + 5)= 0
⇒ y =-5/2
Thus, x > y

By: Munesh Kumari

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