Multiple choice

Directions: Two equations are given in the question. You have to solve these equations and give answer accordingly. x2 – 2x = 15 y2 + 8y = -15

  1. x < y

  2. x > y

  3. x ≤ y

  4. x ≥ y

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

x^2 - 2x - 15 = 0 => (x-5)(x+3) = 0 => x = 5, -3. y^2 + 8y + 15 = 0 => (y+5)(y+3) = 0 => y = -5, -3. Comparing values: 5 > -5, 5 > -3, -3 > -5, -3 = -3. Thus x >= y.

AI explanation

Rearranging the first equation x2 - 2x = 15 gives x2 - 2x - 15 = 0, which factors into (x - 5)(x + 3) = 0, yielding x = 5 or -3. Rearranging the second equation y2 + 8y = -15 gives y2 + 8y + 15 = 0, which factors into (y + 3)(y + 5) = 0, so y = -3 or -5. When comparing the values, 5 is greater than both -3 and -5, but -3 is equal to -3 and greater than -5, so x is either greater than or equal to y. Therefore, x ≥ y.

Keep practicing — related questions