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. $I. (x^2 + 4x - 77 = 0)$ $II. (y^2 + 28y + 195 = 0)$

  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

Solve x²+4x-77=0: (x+11)(x-7)=0, so x=-11 or x=7. Solve y²+28y+195=0: (y+15)(y+13)=0, so y=-13 or y=-15. For x=-11 with y=-13: -11>-13. For x=-11 with y=-15: -11>-15. For x=7 with y=-13: 7>-13. For x=7 with y=-15: 7>-15. In all cases x > y, so option A is correct.