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

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

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4/x+x=5

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

x = 4, x = 1

Solution steps

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

Multiply both sides by

x

4 + x^{2} = 5 x

Solve

4 + x^{2} = 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

\frac{x}{x + 1} + \frac{x}{x + 4} = 1

a^{- n} = \frac{1}{a ^{n}}

\frac{5}{2 x} + 3 = \frac{6}{x} - 2

\frac{4}{x - 2} = x + 1

\frac{x - 1}{x ^{2} - 1} = 3