182+302=c2

Rewrite the equation as c2=182+302.

c2=182+302

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

c=±182+302

Simplify the right side of the equation.

Raise 18 to the power of 2.

c=±324+302

Raise 30 to the power of 2.

c=±324+900

Add 324 and 900.

c=±1224

Rewrite 1224 as 62⋅34.

Factor 36 out of 1224.

c=±36(34)

Rewrite 36 as 62.

c=±62⋅34

c=±62⋅34

Pull terms out from under the radical.

c=±634

c=±634

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.

c=634

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

c=-634

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

c=634,-634

c=634,-634

c=634,-634

The result can be shown in multiple forms.

Exact Form:

c=634,-634

Decimal Form:

c=34.98571136…,-34.98571136…

Solve for c 18^2+30^2=c^2