What is the answer to x/(25)= 4/x ?

The answer to x/(25)= 4/x is x=10,x=-10

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x/(25)= 4/x

\frac{x}{25} = \frac{4}{x}

x = 10, x = - 10

Solution steps

\frac{x}{25} = \frac{4}{x}

Cross multiply

x^{2} = 100

Solve

x^{2} = 100 : x = 10, x = - 10

x = 10, x = - 10

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 10, x = - 10

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

x, \frac{x + y + z}{x} - y = z

\frac{x + 6}{x - 3} = \frac{4}{7}

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

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