4

Set 2: Quadratic Equations (Advanced)

Explanation

Answer: C

PROBLEM

Solve: x squared - 11x + 30 = 0. Find the larger root.

Solve: x squared - 11x + 30 = 0. Find the larger root.

A.

5

B.

4

C.

6

✓ Correct
D.

12

Detailed Explanation

Choice C is the best answer. Factor: (x - 6)(x - 5) = 0. Roots are 6 and 5. Larger: 6

Why others are wrong:
A: 5 is incorrect because it does not satisfy the equation.
B: 4 is incorrect because it does not satisfy the equation.
D: 12 is incorrect because it does not satisfy the equation.