To solve the quadratic equation 4x² – 64 = 0, we first need to rearrange the equation so that we can identify the variable terms more easily.
Start by adding 64 to both sides:
4x² = 64
Next, divide both sides by 4 to simplify:
x² = 16
Now, to find the solutions for x, we take the square root of both sides:
x = ±√16
This leads us to:
x = ±4
So, the solutions to the quadratic equation 4x² – 64 = 0 are x = 4 and x = -4.