Directions (66-69) Solve both equations and choose the relationship between x and y.

Question

Directions (66-69):

Solve both equations and choose the relationship between x and y.

Q66.

I. x² – 10x + 24 = 0

II. 5y² – 16y + 12 = 0

1. A. If x=y or no relation can be established
2. B. If xy (Correct answer)
3. C. If x<y
4. D. If x≥y
5. E. If x≤y

Correct Answer

Option B — If xy

Detailed Solution & Explanation

The correct answer is If x>y.

Key Points

• I: x² – 10x + 24 = 0 → (x–4)(x–6) = 0 → x = 4 or 6. II: 5y² – 16y + 12 = 0 → y = (16±4)/10 → y = 2 or 1.2. All values of x (4,6) > all values of y (1.2, 2) → x > y.