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Solve for x (complex solution)
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x=4\sqrt{5}i x=-4\sqrt{5}i
The equation is now solved.
x^{2}+80=0
Add 80 to both sides.
x=\frac{0±\sqrt{0^{2}-4\times 80}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and 80 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\times 80}}{2}
Square 0.
x=\frac{0±\sqrt{-320}}{2}
Multiply -4 times 80.
x=\frac{0±8\sqrt{5}i}{2}
Take the square root of -320.
x=4\sqrt{5}i
Now solve the equation x=\frac{0±8\sqrt{5}i}{2} when ± is plus.
x=-4\sqrt{5}i
Now solve the equation x=\frac{0±8\sqrt{5}i}{2} when ± is minus.
x=4\sqrt{5}i x=-4\sqrt{5}i
The equation is now solved.