1

Set 5: Quadratic Equations (Intermediate)

Explanation

Answer: C

PROBLEM

Solve: x squared - 11x + 28 = 0. Find the larger root.

Solve: x squared - 11x + 28 = 0. Find the larger root.

A.

14

B.

8

C.

7

✓ Correct
D.

5

Detailed Explanation

Choice C is the best answer. Factor: (x - 4)(x - 7) = 0. Roots are 4 and 7. Larger: 7

Why others are wrong:
A: 14 is incorrect because it does not satisfy the equation.
B: 8 is incorrect because it does not satisfy the equation.
D: 5 is incorrect because it does not satisfy the equation.