What is the answer to 1/(5x^3)= 8/5 ?

The answer to 1/(5x^3)= 8/5 is x= 1/2 ,x=-1/4+(sqrt(3))/4 i,x=-1/4-(sqrt(3))/4 i

Solve for x: 1/(5x^3)= 8/5

The solution is x= 1/2 ,x=-1/4+(sqrt(3))/4 i,x=-1/4-(sqrt(3))/4 i

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\frac{1}{5 x ^{3}} = \frac{8}{5}

x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

Solution steps

\frac{1}{5 x ^{3}} = \frac{8}{5}

Cross multiply

5 = 40 x^{3}

Solve

5 = 40 x^{3} : x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}, x = - \frac{1}{4} + \frac{3}{4} i, x = - \frac{1}{4} - \frac{3}{4} i

2 = \frac{2}{x}

\frac{16 - x ^{2}}{2 x - 8} = 0

\frac{3 y + 9}{4 y - 5} = 6

0 = \frac{2 x}{1 + x ^{2}}

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

What is the answer to 1/(5x^3)= 8/5 ?
The answer to 1/(5x^3)= 8/5 is x= 1/2 ,x=-1/4+(sqrt(3))/4 i,x=-1/4-(sqrt(3))/4 i
Solve for x: 1/(5x^3)= 8/5
The solution is x= 1/2 ,x=-1/4+(sqrt(3))/4 i,x=-1/4-(sqrt(3))/4 i