82+c2=142

Raise 8 to the power of 2.

64+c2=142

Raise 14 to the power of 2.

64+c2=196

Subtract 64 from both sides of the equation.

c2=196-64

Subtract 64 from 196.

c2=132

c2=132

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

c=±132

Simplify the right side of the equation.

Rewrite 132 as 22⋅33.

Factor 4 out of 132.

c=±4(33)

Rewrite 4 as 22.

c=±22⋅33

c=±22⋅33

Pull terms out from under the radical.

c=±233

c=±233

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=233

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

c=-233

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

c=233,-233

c=233,-233

c=233,-233

The result can be shown in multiple forms.

Exact Form:

c=233,-233

Decimal Form:

c=11.48912529…,-11.48912529…

Solve for c 8^2+c^2=14^2