What is the answer to (20)/x =x+1 ?

The answer to (20)/x =x+1 is x=4,x=-5

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(20)/x =x+1

\frac{20}{x} = x + 1

x = 4, x = - 5

Solution steps

\frac{20}{x} = x + 1

Multiply both sides by

x

20 = x^{2} + x

Solve

20 = x^{2} + x : x = 4, x = - 5

x = 4, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 5

4.5 = \frac{1}{\frac{293}{x} - 1}

\frac{10}{x + 6} = 1

\frac{x + 2}{x + 3} + \frac{3}{x ^{2} + 6 x + 9} = 1

x^{2} + 36 x^{- 2} - 13 = 0

\frac{y ^{2}}{y - 3} = \frac{18}{2 y - 6}