152+x2=252

Raise 15 to the power of 2.

225+x2=252

Raise 25 to the power of 2.

225+x2=625

Subtract 225 from both sides of the equation.

x2=625-225

Subtract 225 from 625.

x2=400

x2=400

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

x=±400

Simplify the right side of the equation.

Rewrite 400 as 202.

x=±202

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

x=±20

x=±20

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

First, use the positive value of the ± to find the first solution.

x=20

Next, use the negative value of the ± to find the second solution.

x=-20

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

x=20,-20

x=20,-20

x=20,-20

Solve for x 15^2+x^2=25^2