Skip to main content
Solve for C
Tick mark Image

Similar Problems from Web Search

Share

702.25+31.5^{2}=C^{2}
Calculate 26.5 to the power of 2 and get 702.25.
702.25+992.25=C^{2}
Calculate 31.5 to the power of 2 and get 992.25.
1694.5=C^{2}
Add 702.25 and 992.25 to get 1694.5.
C^{2}=1694.5
Swap sides so that all variable terms are on the left hand side.
C=\frac{\sqrt{6778}}{2} C=-\frac{\sqrt{6778}}{2}
Take the square root of both sides of the equation.
702.25+31.5^{2}=C^{2}
Calculate 26.5 to the power of 2 and get 702.25.
702.25+992.25=C^{2}
Calculate 31.5 to the power of 2 and get 992.25.
1694.5=C^{2}
Add 702.25 and 992.25 to get 1694.5.
C^{2}=1694.5
Swap sides so that all variable terms are on the left hand side.
C^{2}-1694.5=0
Subtract 1694.5 from both sides.
C=\frac{0±\sqrt{0^{2}-4\left(-1694.5\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -1694.5 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
C=\frac{0±\sqrt{-4\left(-1694.5\right)}}{2}
Square 0.
C=\frac{0±\sqrt{6778}}{2}
Multiply -4 times -1694.5.
C=\frac{\sqrt{6778}}{2}
Now solve the equation C=\frac{0±\sqrt{6778}}{2} when ± is plus.
C=-\frac{\sqrt{6778}}{2}
Now solve the equation C=\frac{0±\sqrt{6778}}{2} when ± is minus.
C=\frac{\sqrt{6778}}{2} C=-\frac{\sqrt{6778}}{2}
The equation is now solved.