Quadratic Equations

Quantitative Aptitude(IBPS PO)

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I. 25/x² − 15/x + 2 = 0

????. 40/y² + 1 = 13/y

x > y

No relation

y > x

y ≥ x

Explanation:

??. 25/x² − 15 x + 2 = 0
⇒ 2x^2 − 15x + 25 = 0
⇒ 2x^2 − 10x − 5x + 25 = 0
=>2x (x − 5) − 5(x − 5) = 0
=>(2x − 5)(x − 5) = 0
x = 5/2 , 5
????. 40/y² + 1 = 13/y
⇒ y^2 − 13y + 40 = 0
⇒ y^2 − 8y − 5y + 40 = 0
⇒ y(y − 8) − 5(y − 8) = 0
=>(y − 5)(y − 8) = 0
y = 5, 8
y ≥ x

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