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. x² + 9x + 20 = 0 II. 8y² – 15y + 7 = 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
B Correct answer
Explanation

Equation I: x² + 9x + 20 = 0 factors to (x+4)(x+5)=0, so x=-4 or x=-5. Equation II: Using quadratic formula on 8y² - 15y + 7 = 0 gives y = (15 ± 1)/16, so y=1 or y=7/8. Since all x values (-4,-5) are less than all y values (1, 0.875), X < Y.