Solve for a a^2+b^2=185

$a^{2} + b^{2} = 185$

Step 1

Subtract $b^{2}$ from both sides of the equation.

$a^{2} = 185 - b^{2}$

Step 2

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

$a = \pm \sqrt{185 - b^{2}}$

Step 3

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.

$a = \sqrt{185 - b^{2}}$

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

$a = - \sqrt{185 - b^{2}}$

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

$a = \sqrt{185 - b^{2}}$

$a = - \sqrt{185 - b^{2}}$

$a = \sqrt{185 - b^{2}}$

$a = - \sqrt{185 - b^{2}}$