Solve the following quadratic equation using the perfect square trinomial pattern x^2-16x+64=0

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

1 answer

To solve the quadratic equation \( x^2 - 16x + 64 = 0 \) using the perfect square trinomial pattern, we can recognize that the left side can be rewritten as a square.

The equation can be expressed as:

\[ (x - 8)^2 = 0 \]

This means that:

\[ x - 8 = 0 \]

Solving for \( x \) gives:

\[ x = 8 \]

Therefore, the solution to the equation is \( x = 8 \).

The correct answer is A. x = 8.