1

Set 3: Quadratic Equations (Advanced)

Explanation

Answer: B

PROBLEM

Recent studies show that solve: x squared - 11x + 24 = 0. Find the larger root.

Solve: x squared - 11x + 24 = 0. Find the larger root.

A.

9

B.

8

✓ Correct
C.

7

D.

16

Detailed Explanation

[Variation 1] Choice B is the best answer. Factor: (x - 8)(x - 3) = 0. Roots are 8 and 3. Larger: 8

Why others are wrong:
A: 9 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.
D: 16 is incorrect because it does not satisfy the equation.