D = $\sqrt({F+P})$ / (F-P) find P

asked by guest
on Sep 20, 2024 at 9:37 am



You asked:

Solve the equation \[D = \frac{\sqrt{F + P}}{F - P}\] for the unknown \(P\).

MathBot Answer:

$$\begin{aligned}P &= \frac{2 D^{2} F + 1}{2 D^{2}} - \frac{\sqrt{8 D^{2} F + 1}}{2 D^{2}}\\P &= \frac{2 D^{2} F + 1}{2 D^{2}} + \frac{\sqrt{8 D^{2} F + 1}}{2 D^{2}}\end{aligned}$$ and \(P \neq F\)