Quadratic Equations

Quantitative Aptitude ( CCS)

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I. 9x² – 45x + 56 = 0

II. 4y² – 17y + 18 = 0

x ≥ y

x > y

y > x

y ≥ x

Explanation:

I. 9x² – 45x + 56 = 0
⇒ 9x² – 24x – 21x + 56 = 0
⇒ 3x (3x – 8) – 7 (3x – 8) = 0
⇒ (3x – 8) (3x – 7) = 0
⇒ x = 8/3, 7/3
II. 4y² – 17y + 18 = 0
⇒ 4y² – 8y – 9y + 18 = 0
⇒ (y – 2) (4y – 9) = 0
⇒ y = 2, 9/4
x > y

By: Amit Kumar

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