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Solve for x (complex solution)
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Solve for x
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x^{2}=2±3
Swap sides so that all variable terms are on the left hand side.
x=\sqrt{2±3} x=-\sqrt{2±3}
The equation is now solved.
x^{2}=2±3
Swap sides so that all variable terms are on the left hand side.
x^{2}-\left(2±3\right)=0
Subtract 2±3 from both sides.
x=\frac{0±\sqrt{0^{2}-4\left(-\left(2±3\right)\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\left(2±3\right) for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-\left(2±3\right)\right)}}{2}
Square 0.
x=\frac{0±\sqrt{4\left(2±3\right)}}{2}
Multiply -4 times -\left(2±3\right).
x=\frac{0±2\sqrt{2±3}}{2}
Take the square root of 4\left(2±3\right).
x=\sqrt{2±3}
Now solve the equation x=\frac{0±2\sqrt{2±3}}{2} when ± is plus.
x=-\sqrt{2±3}
Now solve the equation x=\frac{0±2\sqrt{2±3}}{2} when ± is minus.
x=\sqrt{2±3} x=-\sqrt{2±3}
The equation is now solved.