X2 2x ndash 15 0 Y2 9y 20 0 ........

Quantitative Aptitude(IBPS CL) 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.

X² + 2x – 15 = 0

Y² - 9y + 20 = 0

X > Y

X < Y

X ≥ Y

X ≤ Y

X=Y or No relation can be established

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Explanation:

x² + 2x - 15 = 0
x² + 5x - 3x - 15 = 0
x(x + 5) - 3(x + 5) = 0
(x + 5)(x - 3) = 0
x = +3 , –5
y² – 9y + 20 = 0
y² – 4y – 5y + 20 = 0
y(y – 4) – 5(y – 4) = 0
(y – 4)(y – 5) = 0
y = +4, +5
So, y > x.