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Solve the following quadratic equation using perfect square trinomial pattern: x^2 - 16x + 64.

A. x = -64
B. x = 64
C. x = -8
D. x = 8

1 answer

The quadratic equation x^2 - 16x + 64 can be factored using the perfect square trinomial pattern:

(x - 8)^2 = 0

Setting the equation equal to zero:

(x - 8)^2 = 0

Taking the square root of both sides of the equation:

x - 8 = 0

Solving for x:

x = 8

Therefore, the correct answer is D. x = 8.