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x^{2}=1296+156^{2}
Calculate 36 to the power of 2 and get 1296.
x^{2}=1296+24336
Calculate 156 to the power of 2 and get 24336.
x^{2}=25632
Add 1296 and 24336 to get 25632.
x=12\sqrt{178} x=-12\sqrt{178}
Take the square root of both sides of the equation.
x^{2}=1296+156^{2}
Calculate 36 to the power of 2 and get 1296.
x^{2}=1296+24336
Calculate 156 to the power of 2 and get 24336.
x^{2}=25632
Add 1296 and 24336 to get 25632.
x^{2}-25632=0
Subtract 25632 from both sides.
x=\frac{0±\sqrt{0^{2}-4\left(-25632\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -25632 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-25632\right)}}{2}
Square 0.
x=\frac{0±\sqrt{102528}}{2}
Multiply -4 times -25632.
x=\frac{0±24\sqrt{178}}{2}
Take the square root of 102528.
x=12\sqrt{178}
Now solve the equation x=\frac{0±24\sqrt{178}}{2} when ± is plus.
x=-12\sqrt{178}
Now solve the equation x=\frac{0±24\sqrt{178}}{2} when ± is minus.
x=12\sqrt{178} x=-12\sqrt{178}
The equation is now solved.