Multiple choice

Directions: The following question consists of two equations. You are required to solve the equations and identify the correct answer from the alternatives given below. I. 2x2 + 13x + 20 = 0 II. 2y2 - 11y + 12 = 0

  1. x ≥ y

  2. x ≤ y

  3. x > y

  4. x < y

  5. x = y or no relation can be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

I. 2x^2 + 13x + 20 = 0 => (2x+5)(x+4) = 0 => x = -2.5, -4. II. 2y^2 - 11y + 12 = 0 => (2y-3)(y-4) = 0 => y = 1.5, 4. Comparing all values, x < y.

AI explanation

Factoring the first equation gives (2x + 5)(x + 4) = 0, so the roots are x = -2.5 and x = -4. Factoring the second equation gives (2y - 3)(y - 4) = 0, so the roots are y = 1.5 and y = 4. Since both values of x are negative and both values of y are positive, x is strictly less than y.

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