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

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

Add 1600 and 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