Solve for x: x^2 - 64 = 0

Answer 1

To solve the equation $x^2-64=0$, we can start by isolating $x^2$:

$$x^2=64$$

Next, we take the square root of both sides. Remember that taking the square root can yield both a positive and a negative solution:

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

Calculating the square root gives us:

$$x=\pm 8$$

Thus, the solutions for $x$ are:

$$x=8\text{and}x=-8$$

So, the final answer is $x=8$ or $x=-8$.