What is the answer to 9/(z+25)+(16)/z =1 ?

The answer to 9/(z+25)+(16)/z =1 is z=20,z=-20

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9/(z+25)+(16)/z =1

\frac{9}{z + 25} + \frac{16}{z} = 1

z = 20, z = - 20

Solution steps

\frac{9}{z + 25} + \frac{16}{z} = 1

Multiply by LCM

9 z + 16 (z + 25) = z (z + 25)

Solve

9 z + 16 (z + 25) = z (z + 25) : z = 20, z = - 20

z = 20, z = - 20

Verify Solutions

Find undefined (singularity) points:

z = - 25, z = 0

Combine undefined points with solutions:

z = 20, z = - 20

\frac{- 8}{x} = \frac{- 3}{4 x - 10}

\frac{1}{x} = a + b

b, x = \frac{( 7 a - b )}{y b}

24 a^{- 2} + 61 a^{- 1} - 8 = 0

\frac{3}{x} + \frac{5}{2} = 4

What is the answer to 9/(z+25)+(16)/z =1 ?
The answer to 9/(z+25)+(16)/z =1 is z=20,z=-20
Solve for z: 9/(z+25)+(16)/z =1
The solution is z=20,z=-20