2

Set 3: Quadratic Equations (Intermediate)

Explanation

Answer: A

PROBLEM

Solve: x squared - 15x + 56 = 0. Find the larger root.

Solve: x squared - 15x + 56 = 0. Find the larger root.

A.

8

✓ Correct
B.

6

C.

10

D.

7

Detailed Explanation

Choice A is the best answer. Factor: (x - 8)(x - 7) = 0. Roots are 8 and 7. Larger: 8

Why others are wrong:
B: 6 is incorrect because it does not satisfy the equation.
C: 10 is incorrect because it does not satisfy the equation.
D: 7 is incorrect because it does not satisfy the equation.