What is the answer to 8/z-z=4 ?

The answer to 8/z-z=4 is z=-2(1+sqrt(3)),z=2(sqrt(3)-1)

The solution is z=-2(1+sqrt(3)),z=2(sqrt(3)-1)

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8/z-z=4

\frac{8}{z} - z = 4

z = - 2 (1 + 3), z = 2 (3 - 1)

Decimal Notation

z = - 5.46410 \dots, z = 1.46410 \dots

Solution steps

\frac{8}{z} - z = 4

Multiply both sides by

z

8 - z^{2} = 4 z

Solve

8 - z^{2} = 4 z : z = - 2 (1 + 3), z = 2 (3 - 1)

z = - 2 (1 + 3), z = 2 (3 - 1)

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = - 2 (1 + 3), z = 2 (3 - 1)

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

R, P = \frac{6 0 ^{2}}{R}

\frac{t}{t - 9} = \frac{t + 9}{- 24}

1 + \frac{8}{x - 1} = \frac{8 x}{x - 1}

G (x) = \frac{1}{x}

What is the answer to 8/z-z=4 ?
The answer to 8/z-z=4 is z=-2(1+sqrt(3)),z=2(sqrt(3)-1)
Solve for z: 8/z-z=4
The solution is z=-2(1+sqrt(3)),z=2(sqrt(3)-1)