y=x+k/ x+2k make x the subject
You asked:
Solve the equation \[y = x + \frac{k}{x} + 2 k\] for the unknown \(x\).
MathBot Answer:
$$\begin{aligned}x &= - \frac{2 k - y}{2} - \frac{\sqrt{4 k^{2} - 4 k y - 4 k + y^{2}}}{2}\\x &= - \frac{2 k - y}{2} + \frac{\sqrt{4 k^{2} - 4 k y - 4 k + y^{2}}}{2}\end{aligned}$$ and \(x \neq 0\)