What is the answer to x^4=(11x-6)/(6x-11) ?

The answer to x^4=(11x-6)/(6x-11) is x=-1,x=2,x= 1/2 ,x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6

Solve for x: x^4=(11x-6)/(6x-11)

The solution is x=-1,x=2,x= 1/2 ,x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6

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x^{4} = \frac{11 x - 6}{6 x - 11}

x = - 1, x = 2, x = \frac{1}{2}, x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

Solution steps

x^{4} = \frac{11 x - 6}{6 x - 11}

Multiply both sides by

6 x - 11

x^{4} (6 x - 11) = 11 x - 6

Solve

x^{4} (6 x - 11) = 11 x - 6 : x = - 1, x = 2, x = \frac{1}{2}, x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

x = - 1, x = 2, x = \frac{1}{2}, x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

Verify Solutions

Find undefined (singularity) points:

x = \frac{11}{6}

Combine undefined points with solutions:

x = - 1, x = 2, x = \frac{1}{2}, x = \frac{1}{6} + i \frac{35}{6}, x = \frac{1}{6} - i \frac{35}{6}

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

\frac{x - 7}{x + 3} = \frac{10}{x + 3} - 3

7 - \frac{2}{x - 10} = x

- \frac{4 x}{x + 7} + 3 = \frac{6}{x + 7}

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

What is the answer to x^4=(11x-6)/(6x-11) ?
The answer to x^4=(11x-6)/(6x-11) is x=-1,x=2,x= 1/2 ,x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6
Solve for x: x^4=(11x-6)/(6x-11)
The solution is x=-1,x=2,x= 1/2 ,x= 1/6+i(sqrt(35))/6 ,x= 1/6-i(sqrt(35))/6