What is the answer to 1/x =1-1/4 x ?

The answer to 1/x =1-1/4 x is x=2

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1/x =1-1/4 x

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

x = 2

Solution steps

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

Multiply both sides by

x

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

Solve

1 = x - \frac{1}{4} x^{2} : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

0 = \frac{- 6}{x - 6}

\frac{7}{9} = \frac{13}{h - 16}

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

E, L = \frac{50 M}{E}

a, \frac{k}{a} = v - w