Solve for A A^2+35^2=37^2

$A^{2} + 35^{2} = 37^{2}$

Raise $35$ to the power of $2$ .

$A^{2} + 1225 = 37^{2}$

Raise $37$ to the power of $2$ .

$A^{2} + 1225 = 1369$

Move all terms not containing $A$ to the right side of the equation.

Subtract $1225$ from both sides of the equation.

$A^{2} = 1369 - 1225$

Subtract $1225$ from $1369$ .

$A^{2} = 144$

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

$A = \pm \sqrt{144}$

Simplify $\pm \sqrt{144}$ .

Rewrite $144$ as $12^{2}$ .

$A = \pm \sqrt{12^{2}}$

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

$A = \pm 12$

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.

$A = 12$

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

$A = - 12$

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

$A = 12, - 12$