6

Set 1: Quadratic Equations (Intermediate)

Explanation

Answer: B

PROBLEM

Solve: x squared - 14x + 48 = 0. Find the larger root.

Solve: x squared - 14x + 48 = 0. Find the larger root.

A.

7

B.

8

✓ Correct
C.

9

D.

6

Detailed Explanation

Choice B is the best answer. Factor: (x - 6)(x - 8) = 0. Roots are 6 and 8. Larger: 8

Why others are wrong:
A: 7 is incorrect because it does not satisfy the equation.
C: 9 is incorrect because it does not satisfy the equation.
D: 6 is incorrect because it does not satisfy the equation.