Multiple choice

In each question two equations numbered I and II are given, you have to solve both the equation and choose the correct answer. I. 2x² - 17x + 35 = 0 II. 3y² + 4y - 15 = 0

  1. X > Y

  2. X < Y

  3. X ≤ Y

  4. X ≥ Y

  5. X = Y or the relationship can’t be established

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Equation I: 2x² - 17x + 35 = 0. Solving: x = [17 ± √(289 - 280)]/4 = [17 ± √9]/4 = [17 ± 3]/4. So x = 20/4 = 5 or x = 14/4 = 3.5. Equation II: 3y² + 4y - 15 = 0. Solving: y = [-4 ± √(16 + 180)]/6 = [-4 ± √196]/6 = [-4 ± 14]/6. So y = 10/6 = 5/3 or y = -18/6 = -3. Comparing: When x=5, y=5/3 gives x>y; when x=5, y=-3 gives x>y; when x=3.5, y=5/3 gives x>y; when x=3.5, y=-3 gives x>y. In all cases, x > y.