What is the answer to x+4/x =5 ?

The answer to x+4/x =5 is x=4,x=1

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x+4/x =5

x + \frac{4}{x} = 5

x = 4, x = 1

Solution steps

x + \frac{4}{x} = 5

Multiply both sides by

x

x^{2} + 4 = 5 x

Solve

x^{2} + 4 = 5 x : x = 4, x = 1

x = 4, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = 1

x + \frac{4}{x} = 9

\frac{3}{2 x - 5} = 4

\frac{a ^{5}}{a ^{3}} = a^{- 2}

x^{- 2} - x^{- 1} - 1 = 0

1.07 = - \frac{1}{x} ln (1 - 0.96)