2

Set 2: Quadratic Equations (Advanced)

Explanation

Answer: B

PROBLEM

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

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

A.

10

B.

8

✓ Correct
C.

7

D.

9

Detailed Explanation

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

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.
D: 9 is incorrect because it does not satisfy the equation.