# Solve for c 40^2+40^2=c^2 402+402=c2
Rewrite the equation as c2=402+402.
c2=402+402
Take the square root of both sides of the equation to eliminate the exponent on the left side.
c=±402+402
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Raise 40 to the power of 2.
c=±1600+402
Raise 40 to the power of 2.
c=±1600+1600
c=±3200
Rewrite 3200 as 402⋅2.
Factor 1600 out of 3200.
c=±1600(2)
Rewrite 1600 as 402.
c=±402⋅2
c=±402⋅2
Pull terms out from under the radical.
c=±402
c=±402
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=402
Next, use the negative value of the ± to find the second solution.
c=-402
The complete solution is the result of both the positive and negative portions of the solution.
c=402,-402
c=402,-402
c=402,-402
The result can be shown in multiple forms.
Exact Form:
c=402,-402
Decimal Form:
c=56.56854249…,-56.56854249…
Solve for c 40^2+40^2=c^2

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