What is the inverse of (+z(10+5z))/((2z-11)) ?

The inverse of (+z(10+5z))/((2z-11)) is (-5+z+sqrt(z^2-65z+25))/5 ,(-5+z-sqrt(z^2-65z+25))/5

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inverse of (+z(10+5z))/((2z-11))

inverse

\frac{+ z ( 10 + 5 z )}{( 2 z - 11 )}

\frac{- 5 + z + z ^{2} - 65 z + 25}{5}, \frac{- 5 + z - z ^{2} - 65 z + 25}{5}

Solution steps

y = \frac{z ( 10 + 5 z )}{2 z - 11}

Replace

z

with

y

z = \frac{y ( 10 + 5 y )}{2 y - 11}

Solve for

y, z = \frac{+ y ( 10 + 5 y )}{2 y - 11}

\frac{- 5 + z + z ^{2} - 65 z + 25}{5}, \frac{- 5 + z - z ^{2} - 65 z + 25}{5}

What is the inverse of (+z(10+5z))/((2z-11)) ?
The inverse of (+z(10+5z))/((2z-11)) is (-5+z+sqrt(z^2-65z+25))/5 ,(-5+z-sqrt(z^2-65z+25))/5