What is the answer to -6+8/(x^2)=x-6 ?

The answer to -6+8/(x^2)=x-6 is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i

Solve for x: -6+8/(x^2)=x-6

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

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- 6 + \frac{8}{x ^{2}} = x - 6

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Solution steps

- 6 + \frac{8}{x ^{2}} = x - 6

Add

6

to both sides

- 6 + \frac{8}{x ^{2}} + 6 = x - 6 + 6

Simplify

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

Multiply both sides by

x^{2}

8 = x^{3}

Solve

8 = x^{3} : x = 2, x = - 1 + 3 i, x = - 1 - 3 i

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

1 - \frac{8}{m - 5} = \frac{3}{m}

\frac{5}{x} = \frac{5}{x ^{2}}

\frac{3}{6} = \frac{7}{w}

5 - \frac{x}{2} = \frac{12}{x}

x, \frac{6 y + 1}{x} = 6

What is the answer to -6+8/(x^2)=x-6 ?
The answer to -6+8/(x^2)=x-6 is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i
Solve for x: -6+8/(x^2)=x-6
The solution is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i