What is the answer to 8x= 1/(x^2) ?

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

Solve for x: 8x= 1/(x^2)

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

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8 x = \frac{1}{x ^{2}}

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

Solution steps

8 x = \frac{1}{x ^{2}}

Multiply both sides by

x^{2}

8 x^{3} = 1

Solve

8 x^{3} = 1 : 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

\frac{9}{8} = \frac{4}{x}

\frac{n}{n + 1} = \frac{3}{5}

\frac{3}{7 - x} = 0

a, 5 q = \frac{f}{a} + G

\frac{4}{5 x + 2} - 4 = 0

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