What is the answer to 4+8/x =x+6 ?

The answer to 4+8/x =x+6 is x=2,x=-4

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4+8/x =x+6

4 + \frac{8}{x} = x + 6

x = 2, x = - 4

Solution steps

4 + \frac{8}{x} = x + 6

Move

4

to the right side

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

Multiply both sides by

x

8 = x^{2} + 2 x

Solve

8 = x^{2} + 2 x : x = 2, x = - 4

x = 2, x = - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 4

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

\frac{7}{7 b + 3} = \frac{2}{b - 3}

\frac{1}{x ^{3} + 1} = 0

- f (a) = \frac{4 x - 1}{7 x + 2}

\frac{6}{2} = \frac{4}{P}