What is the answer to (-8/y)^3-8=0 ?

The answer to (-8/y)^3-8=0 is y=-4,y=2-2sqrt(3)i,y=2+2sqrt(3)i

Solve for y: (-8/y)^3-8=0

The solution is y=-4,y=2-2sqrt(3)i,y=2+2sqrt(3)i

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(- \frac{8}{y})^{3} - 8 = 0

y = - 4, y = 2 - 23 i, y = 2 + 23 i

Solution steps

(- \frac{8}{y})^{3} - 8 = 0

Simplify

(- \frac{8}{y})^{3} : - \frac{512}{y ^{3}}

- \frac{512}{y ^{3}} - 8 = 0

Multiply both sides by

y^{3}

- 512 - 8 y^{3} = 0

Solve

- 512 - 8 y^{3} = 0 : y = - 4, y = 2 - 23 i, y = 2 + 23 i

y = - 4, y = 2 - 23 i, y = 2 + 23 i

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - 4, y = 2 - 23 i, y = 2 + 23 i

\frac{6}{x} = \frac{14}{35}

\frac{x + 52}{11 - x} = \frac{5}{2}

x 898.47 = \frac{1000}{1 + x ^{2}}

\frac{0.2 + x}{( 2 - 2 x ) ^{2}} = 0.078

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

What is the answer to (-8/y)^3-8=0 ?
The answer to (-8/y)^3-8=0 is y=-4,y=2-2sqrt(3)i,y=2+2sqrt(3)i
Solve for y: (-8/y)^3-8=0
The solution is y=-4,y=2-2sqrt(3)i,y=2+2sqrt(3)i