• Numerical Ability - Quadratic Equations
Question

I. 17x² + 48x = 9

II. 13y² = 32y – 12

  • A) if x < y
  • B) if x ≤ y
  • C) relationship between x and y cannot be determined
  • D) if x ≥ y
  • E) if x > y
Solution

Sol.

I. 17x² + 48x – 9 = 0 ⇒ 17x² + 51x – 3x – 9 = 0 ⇒ (x + 3) (17x – 3) = 0 ⇒ x = 3/17, – 3

II. 13y² – 32y + 12 = 0 ⇒ 13y² – 26y – 6y + 12 = 0 ⇒ (y – 2) (13y – 6) = 0 ⇒ y = 2, 6/13 y > x

Sol.

I. 17x² + 48x – 9 = 0 ⇒ 17x² + 51x – 3x – 9 = 0 ⇒ (x + 3) (17x – 3) = 0 ⇒ x = 3/17, – 3

II. 13y² – 32y + 12 = 0 ⇒ 13y² – 26y – 6y + 12 = 0 ⇒ (y – 2) (13y – 6) = 0 ⇒ y = 2, 6/13 y > x
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