Solve the following quadratic equation using the perfect square trinomial pattern: x² - 16x +64.

Answer 1

The perfect square trinomial pattern is (a - b)² = a² - 2ab + b².

In this case, a = x and b = 8.

We can rewrite the equation as:
x² - 16x + 64 = (x - 8)²

Therefore, the solution to the quadratic equation x² - 16x + 64 = 0 is x = 8.