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

The answer to x=5-6/x is x=3,x=2

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x=5-6/x

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

x = 3, x = 2

Solution steps

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

Multiply both sides by

x

x^{2} = 5 x - 6

Solve

x^{2} = 5 x - 6 : x = 3, x = 2

x = 3, x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = 2

\frac{3 x}{x - 1} = 3

\frac{2 x + 3}{2 x - 1} = \frac{x - 5}{x + 3}

\frac{60}{t - 5} - \frac{18}{t} = \frac{40}{t}

- \frac{3}{5} = \frac{3}{3 - j}

\frac{1}{x ^{4}} = 0