What is the answer to x+5= 6/x ?

The answer to x+5= 6/x is x=1,x=-6

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x+5= 6/x

x + 5 = \frac{6}{x}

x = 1, x = - 6

Solution steps

x + 5 = \frac{6}{x}

Multiply both sides by

x

x^{2} + 5 x = 6

Solve

x^{2} + 5 x = 6 : x = 1, x = - 6

x = 1, x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 6

\frac{6}{x} - \frac{28}{x - 3} + 4 = 0

\frac{1}{4 ( x - 2 ) + 4} = 12

\frac{7}{2 x - 8} = \frac{3}{x - 6}

\frac{h - 4}{j} = k

\frac{2 x - 6}{8 - x} = - \frac{3}{4}