Question

solve the following quadratic function by utilizing the square root method.

\\y = x^2 - 64\\

\\x = \pm ?\\

Explanation:

Set the quadratic function to zero

Using the Solving Quadratic Equations knowledge point

$$ x^2 - 64 = 0 $$

Isolate the squared term

Using the Solving Quadratic Equations knowledge point

$$ x^2 = 64 $$

Apply the square root property

Using the Square Root Property knowledge point

$$ x = \pm\sqrt{64} $$

Simplify the radical

Using the Square Root Property knowledge point

$$ x = \pm 8 $$

Answer:

Solve the following quadratic function by utilizing the square root method.
\(y = x^2 - 64\)
\(x = \pm\) <blank>8</blank>