1/z = 1/y +(1/x - 1/y)(1- (z-y)/(x-y)) solve for z

asked by guest
on Apr 25, 2024 at 11:06 am

You asked:

Solve the equation \[\frac{1}{z} = \frac{1}{y} + \left(\frac{1}{x} - \frac{1}{y}\right) \cdot \left(1 - \frac{z - y}{x - y}\right)\] for the unknown \(z\).

MathBot Answer:

$$\begin{aligned}z &= \sqrt{x y}\\z &= - \sqrt{x y}\end{aligned}$$ and \(z \neq 0\)

asked 10 days ago

active 10 days ago