What are the solutions to the quadratic equation 4x2 = 64?

Question

x = −16 and x = 16
x = −8 and x = 8
x = −4 and x = 4
x = −2 and x = 2

Answer 1

To solve the quadratic equation \( 4x^2 = 64 \), we can first simplify it.

1. Divide both sides by 4: \[ x^2 = 16 \]

2. Now, take the square root of both sides: \[ x = \pm 4 \]

This means the solutions are: \[ x = -4 \quad \text{and} \quad x = 4 \]

Thus, the correct answer is: x = −4 and x = 4.