Final Answer
$x=\frac{-1+2\sqrt{5}i}{2},\:x=-\frac{1}{2}\left(1+2\sqrt{5}i\right)$
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Step-by-step Solution
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1
Combining like terms $-x^2$ and $-4x^2$
$x=\frac{-x-2\sqrt{-5x^2}}{2x}$
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$x=\frac{-x-2\sqrt{-5x^2}}{2x}$
Learn how to solve problems step by step online. Find the roots of x=(-x-2(-x^2-4x^2)^1/2)/(2x). Combining like terms -x^2 and -4x^2. Factor the polynomial -x-2\sqrt{-5x^2} by it's greatest common factor (GCF): -1. Multiply both sides of the equation by 2x. Multiply both sides of the equation by -1.
Final Answer
$x=\frac{-1+2\sqrt{5}i}{2},\:x=-\frac{1}{2}\left(1+2\sqrt{5}i\right)$