8

Set 4: Quadratic Equations (Beginner)

Explanation

Answer: C

PROBLEM

Recent studies show that solve: (x - 6) squared = 25. Find the positive solution.

Solve: (x - 6) squared = 25. Find the positive solution.

A.

10

B.

13

C.

11

✓ Correct
D.

9

Detailed Explanation

[Variation 1] Choice C is the best answer. Take square root: x - 6 = ±5. x = 6 + 5 = 11 or x = 6 - 5 = 1

Why others are wrong:
A: 10 is incorrect because it does not satisfy the equation.
B: 13 is incorrect because it does not satisfy the equation.
D: 9 is incorrect because it does not satisfy the equation.