What is the answer to x^2-2= 6/(x^2-1) ?

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

Solve for x: x^2-2= 6/(x^2-1)

The solution is x=2,x=-2,x=i,x=-i

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x^{2} - 2 = \frac{6}{x ^{2} - 1}

x = 2, x = - 2, x = i, x = - i

Solution steps

x^{2} - 2 = \frac{6}{x ^{2} - 1}

Multiply both sides by

x^{2} - 1

x^{2} (x^{2} - 1) - 2 (x^{2} - 1) = 6

Solve

x^{2} (x^{2} - 1) - 2 (x^{2} - 1) = 6 : x = 2, x = - 2, x = i, x = - i

x = 2, x = - 2, x = i, x = - i

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 1

Combine undefined points with solutions:

x = 2, x = - 2, x = i, x = - i

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

\frac{x}{x - 5} + 1 = \frac{1}{2}

- 3 = \frac{60}{2 - x}

\frac{x}{x - 8} + 3 = - \frac{4}{x - 8}

u, r = \frac{s - t}{u - 8}

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