Multiple choice

Directions: In the given question, equations numbered I and II are given. Solve both equations and give answer. I. 12(x + 2)2 + 24(x + 2) + 9 = 0 II. 4y2 + 4y - 15 = 0

  1. x > y

  2. x ≤ y

  3. x ≥ y

  4. x < y

  5. x = y or relation between x and y cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

I: 12(x+2)^2 + 24(x+2) + 9 = 0. Let u = x+2. 12u^2 + 24u + 9 = 0. Divide by 3: 4u^2 + 8u + 3 = 0. (2u+1)(2u+3) = 0. u = -0.5, -1.5. x = -2.5, -3.5. II: 4y^2 + 4y - 15 = 0. (2y-3)(2y+5) = 0. y = 1.5, -2.5. Comparing: x <= y.

Keep practicing — related questions