What is the answer to x+3=(60)/(x-1) ?

The answer to x+3=(60)/(x-1) is x=7,x=-9

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x+3=(60)/(x-1)

x + 3 = \frac{60}{x - 1}

x = 7, x = - 9

Solution steps

x + 3 = \frac{60}{x - 1}

Multiply both sides by

x - 1

x (x - 1) + 3 (x - 1) = 60

Solve

x (x - 1) + 3 (x - 1) = 60 : x = 7, x = - 9

x = 7, x = - 9

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 7, x = - 9

x - \frac{1}{x} = 10

\frac{6}{x - 5} = \frac{1}{x}

\frac{( x ^{2} + x )}{( x - 1 )} = 6

\frac{9}{x} = \frac{x}{16}

x + \frac{12}{x} = 6