What is the answer to (400)/x+x=41 ?

The answer to (400)/x+x=41 is x=25,x=16

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(400)/x+x=41

\frac{400}{x} + x = 41

x = 25, x = 16

Solution steps

\frac{400}{x} + x = 41

Multiply both sides by

x

400 + x^{2} = 41 x

Solve

400 + x^{2} = 41 x : x = 25, x = 16

x = 25, x = 16

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 25, x = 16

\frac{4.5}{6} = \frac{1.25}{x}

\frac{2}{3 x + 10} = \frac{1}{x - 1}

x = - \frac{1}{x}

\frac{3}{7 x - 1} = + \frac{2}{3 x + 2}

x, \frac{3 g}{5 x y} = 2