z=a+b/ma find for a

asked by guest
on Nov 22, 2024 at 7:15 pm



You asked:

Solve the equation \[z = a + \frac{b}{m a}\] for the unknown \(a\).

MathBot Answer:

$$\begin{aligned}a &= \frac{z}{2} - \frac{\sqrt{- m \left(4 b - z^{2} m\right)}}{2 m}\\a &= \frac{z}{2} + \frac{\sqrt{- m \left(4 b - z^{2} m\right)}}{2 m}\end{aligned}$$ and \(a \neq 0\)