What is the answer to x+5=(14)/x ?

The answer to x+5=(14)/x is x=2,x=-7

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x+5=(14)/x

x + 5 = \frac{14}{x}

x = 2, x = - 7

Solution steps

x + 5 = \frac{14}{x}

Multiply both sides by

x

x^{2} + 5 x = 14

Solve

x^{2} + 5 x = 14 : x = 2, x = - 7

x = 2, x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 7

\frac{( x - 6 ) ( x + 1 )}{x + 1} = 0

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

2 + \frac{7}{x} = \frac{3}{5}

\frac{x ^{2} + 15 x + 56}{x + 7} = 0

\frac{1}{x - 8} = x + 5