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