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x^{2}=6+5
Add 5 to both sides.
x^{2}=11
Add 6 and 5 to get 11.
x=\sqrt{11} x=-\sqrt{11}
Take the square root of both sides of the equation.
x^{2}-5-6=0
Subtract 6 from both sides.
x^{2}-11=0
Subtract 6 from -5 to get -11.
x=\frac{0±\sqrt{0^{2}-4\left(-11\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -11 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-11\right)}}{2}
Square 0.
x=\frac{0±\sqrt{44}}{2}
Multiply -4 times -11.
x=\frac{0±2\sqrt{11}}{2}
Take the square root of 44.
x=\sqrt{11}
Now solve the equation x=\frac{0±2\sqrt{11}}{2} when ± is plus.
x=-\sqrt{11}
Now solve the equation x=\frac{0±2\sqrt{11}}{2} when ± is minus.
x=\sqrt{11} x=-\sqrt{11}
The equation is now solved.