What is the answer to (4x)/(20)= 5/x ?

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

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(4x)/(20)= 5/x

\frac{4 x}{20} = \frac{5}{x}

x = 5, x = - 5

Solution steps

\frac{4 x}{20} = \frac{5}{x}

Cross multiply

x^{2} = 25

Solve

x^{2} = 25 : x = 5, x = - 5

x = 5, x = - 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 5

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

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

a, u = - \frac{2 a - 3}{ka}

\frac{10}{m} = \frac{5}{11}

- 0.9 = \frac{550500 - 562750}{x}