What is the answer to x/(x^2)-5x+4=0 ?

The answer to x/(x^2)-5x+4=0 is x=-1/5 ,x=1

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x/(x^2)-5x+4=0

\frac{x}{x ^{2}} - 5 x + 4 = 0

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

Decimal Notation

x = - 0.2, x = 1

Solution steps

\frac{x}{x ^{2}} - 5 x + 4 = 0

Simplify

\frac{x}{x ^{2}} : \frac{1}{x}

\frac{1}{x} - 5 x + 4 = 0

Multiply both sides by

x

1 - 5 x^{2} + 4 x = 0

Solve

1 - 5 x^{2} + 4 x = 0 : x = - \frac{1}{5}, x = 1

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{9}{x - 2} = 6

x, \frac{5 y}{x - 3} = 4

y, - \frac{1}{y} = x + c

\frac{3 x + 6}{- 6 x - 5} = \frac{1}{2}

3 = \frac{7}{x - 7}

What is the answer to x/(x^2)-5x+4=0 ?
The answer to x/(x^2)-5x+4=0 is x=-1/5 ,x=1
Solve for x: x/(x^2)-5x+4=0
The solution is x=-1/5 ,x=1