Solve for j j^2-64=0

$j^{2} - 64 = 0$

Add $64$ to both sides of the equation.

$j^{2} = 64$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$j = \pm \sqrt{64}$

Simplify $\pm \sqrt{64}$ .

Rewrite $64$ as $8^{2}$ .

$j = \pm \sqrt{8^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$j = \pm 8$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$j = 8$

Next, use the negative value of the $\pm$ to find the second solution.

$j = - 8$

The complete solution is the result of both the positive and negative portions of the solution.

$j = 8, - 8$