What is the answer to 5/z = z/9 ?

The answer to 5/z = z/9 is z=3sqrt(5),z=-3sqrt(5)

Solve for z: 5/z = z/9

The solution is z=3sqrt(5),z=-3sqrt(5)

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\frac{5}{z} = \frac{z}{9}

z = 35, z = - 35

Decimal Notation

z = 6.70820 \dots, z = - 6.70820 \dots

Solution steps

\frac{5}{z} = \frac{z}{9}

Cross multiply

45 = z^{2}

Solve

45 = z^{2} : z = 35, z = - 35

z = 35, z = - 35

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = 35, z = - 35

\frac{5}{x + 3} + \frac{2}{x - 3} = 1

x = \frac{- 2 x + 3}{x}

x, y - 1 = \frac{2}{x - 3}

\frac{- 288 x ^{2}}{( x - 12 ) ^{4}} = 0

\frac{9}{10} = \frac{22.5}{x}

What is the answer to 5/z = z/9 ?
The answer to 5/z = z/9 is z=3sqrt(5),z=-3sqrt(5)
Solve for z: 5/z = z/9
The solution is z=3sqrt(5),z=-3sqrt(5)