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

82+c2=142
Raise 8 to the power of 2.
64+c2=142
Raise 14 to the power of 2.
64+c2=196
Move all terms not containing c to the right side of the equation.
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
The complete solution is the result of both the positive and negative portions of the solution.
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

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