7

Set 1: Quadratic Equations (Intermediate)

Explanation

Answer: C

PROBLEM

Recent studies show that solve: x squared - 11x + 30 = 0. Find the larger root.

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

A.

12

B.

7

C.

6

✓ Correct
D.

8

Detailed Explanation

[Variation 1] Choice C is the best answer. Factor: (x - 6)(x - 5) = 0. Roots are 6 and 5. Larger: 6

Why others are wrong:
A: 12 is incorrect because it does not satisfy the equation.
B: 7 is incorrect because it does not satisfy the equation.
D: 8 is incorrect because it does not satisfy the equation.