X2 17x 72 0 Y2 21y 110 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 + 17x + 72 = 0

Y² + 21y + 110 = 0

X > Y

X < Y

X ≥ Y

X ≤ Y

X=Y or No relation can be established

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Explanation:

x² + 17x + 72 = 0
x² + 8x + 9x + 72 = 0
x(x + 8) + 9(x + 8) = 0
(x + 8)(x + 9) = 0
x = – 8 , –9
y² + 21y + 110 = 0
y² + 10y + 11y + 110 = 0
y(y + 10) + 11(y + 10) = 0
(y + 11)(y + 10) = 0
y = –11 , –10
So, x > y.