Solve for y
y=\frac{x}{7}+\frac{4}{7x}
x\neq 0
Solve for x (complex solution)
x=\frac{\sqrt{49y^{2}-16}+7y}{2}
x=\frac{-\sqrt{49y^{2}-16}+7y}{2}
Solve for x
x=\frac{\sqrt{49y^{2}-16}+7y}{2}
x=\frac{-\sqrt{49y^{2}-16}+7y}{2}\text{, }|y|\geq \frac{4}{7}
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7xy=x^{2}+4
Swap sides so that all variable terms are on the left hand side.
\frac{7xy}{7x}=\frac{x^{2}+4}{7x}
Divide both sides by 7x.
y=\frac{x^{2}+4}{7x}
Dividing by 7x undoes the multiplication by 7x.
y=\frac{x}{7}+\frac{4}{7x}
Divide x^{2}+4 by 7x.
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