Multiple choice

Directions: In the following question, two equations numbered I and II are given. You have to solve both the equations and then choose the correct option. I. 4X2 + 36X + 80 = 0 II. 7Y2 + 49Y + 84 = 0

  1. X > Y

  2. X ≥ Y

  3. X < Y

  4. X ≤ Y

  5. X = Y, or the relationship cannot be established.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation I: 4(x^2 + 9x + 20) = 0 -> 4(x+4)(x+5) = 0, so x = -4, -5. Equation II: 7(y^2 + 7y + 12) = 0 -> 7(y+3)(y+4) = 0, so y = -3, -4. Comparing values, -4 <= -3 and -5 <= -3, so X <= Y.

AI explanation

Factoring the first equation yields 4(X + 4)(X + 5) = 0, giving X = -4 or X = -5. Factoring the second equation yields 7(Y + 4)(Y + 3) = 0, giving Y = -4 or Y = -3. Since both -4 and -5 are less than or equal to both -4 and -3, X is less than or equal to Y.

Keep practicing — related questions