What is the answer to 1/z-2*z=1 ?

The answer to 1/z-2*z=1 is z=-1,z= 1/2

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1/z-2*z=1

\frac{1}{z} - 2 \cdot z = 1

z = - 1, z = \frac{1}{2}

Decimal Notation

z = - 1, z = 0.5

Solution steps

\frac{1}{z} - 2 z = 1

Multiply both sides by

z

1 - 2 z^{2} = z

Solve

1 - 2 z^{2} = z : z = - 1, z = \frac{1}{2}

z = - 1, z = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = - 1, z = \frac{1}{2}

\frac{2}{c + 3} - 3 = \frac{7}{c + 3}

\frac{x + 1}{x - 8} = 10

1.2 = \frac{0.091}{120 \cdot x}

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

\frac{4}{∣ p ∣ + 12} = 14