5

Set 3: Quadratic Equations (Advanced)

Explanation

Answer: A

PROBLEM

Solve: x squared - 7x + 6 = 0. Find the larger root.

Solve: x squared - 7x + 6 = 0. Find the larger root.

A.

6

✓ Correct
B.

5

C.

7

D.

12

Detailed Explanation

Choice A is the best answer. Factor: (x - 1)(x - 6) = 0. Roots are 1 and 6. Larger: 6

Why others are wrong:
B: 5 is incorrect because it does not satisfy the equation.
C: 7 is incorrect because it does not satisfy the equation.
D: 12 is incorrect because it does not satisfy the equation.