Multiple choice

In the following question, the given equations are given, after solving the equation, find the correct answer. I. (x^2 - 17x + 66 = 0) II. (5y^2 + 8y - 21 = 0)

  1. x > y

  2. x < y

  3. x ≥ y

  4. x ≤ y

  5. x = y or relation can’t be established
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Solving x² - 17x + 66 = 0 gives (x-11)(x-6) = 0, so x = 11 or 6. Solving 5y² + 8y - 21 = 0 gives y = (-8 ± √(64 + 420))/10 = (-8 ± 22)/10, so y = 1.4 or -3. Both values of x (11, 6) are greater than both values of y (1.4, -3). Therefore x > y is always true.

Keep practicing — related questions