3

Set 1: Quadratic Equations (Intermediate)

Explanation

Answer: D

PROBLEM

Solve: x squared - 10x + 16 = 0. Find the larger root.

Solve: x squared - 10x + 16 = 0. Find the larger root.

A.

10

B.

16

C.

9

D.

8

✓ Correct

Detailed Explanation

Choice D is the best answer. Factor: (x - 2)(x - 8) = 0. Roots are 2 and 8. Larger: 8

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
B: 16 is incorrect because it does not satisfy the equation.
C: 9 is incorrect because it does not satisfy the equation.