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x^{2}=16-2
Subtract 2 from both sides.
x^{2}=14
Subtract 2 from 16 to get 14.
x=\sqrt{14} x=-\sqrt{14}
Take the square root of both sides of the equation.
x^{2}+2-16=0
Subtract 16 from both sides.
x^{2}-14=0
Subtract 16 from 2 to get -14.
x=\frac{0±\sqrt{0^{2}-4\left(-14\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -14 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-14\right)}}{2}
Square 0.
x=\frac{0±\sqrt{56}}{2}
Multiply -4 times -14.
x=\frac{0±2\sqrt{14}}{2}
Take the square root of 56.
x=\sqrt{14}
Now solve the equation x=\frac{0±2\sqrt{14}}{2} when ± is plus.
x=-\sqrt{14}
Now solve the equation x=\frac{0±2\sqrt{14}}{2} when ± is minus.
x=\sqrt{14} x=-\sqrt{14}
The equation is now solved.