Solve for f
f=3x+\frac{1}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{-\sqrt{f^{2}-12}+f}{6}
x=\frac{\sqrt{f^{2}-12}+f}{6}
Solve for x
x=\frac{-\sqrt{f^{2}-12}+f}{6}
x=\frac{\sqrt{f^{2}-12}+f}{6}\text{, }|f|\geq 2\sqrt{3}
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xf=3x^{2}+1
The equation is in standard form.
\frac{xf}{x}=\frac{3x^{2}+1}{x}
Divide both sides by x.
f=\frac{3x^{2}+1}{x}
Dividing by x undoes the multiplication by x.
f=3x+\frac{1}{x}
Divide 3x^{2}+1 by x.
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