\sqrt{\frac{x}{x+16}} + \sqrt{\frac{x+16}{x}} = \frac{25}{12}
You asked:
Solve the equation \(\sqrt{\frac{x}{x + 16}} + \sqrt{\frac{x + 16}{x}} = \frac{25}{12}\) for the variable \(x\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}x &= - \frac{256}{7} = -36.\overline{571428}\\x &= \frac{144}{7} = 20.\overline{571428}\end{aligned}\]