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

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

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

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8/x-x=4

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

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

Decimal

x = - 5.46410 \dots, x = 1.46410 \dots

Solution steps

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

Multiply both sides by

x

8 - x^{2} = 4 x

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{3}{n} - \frac{1}{2} = \frac{n - 5}{n}

x + \frac{6}{x} = 18

\frac{1}{2} + \frac{1}{3} = \frac{1}{x}

\frac{1}{x - 3} - \frac{3}{x ^{2} - 3 x} = 4

0 = 3 x^{2} - \frac{24}{x}

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