What is the answer to x-2/5 = 3/x ?

The answer to x-2/5 = 3/x is x=(1+2sqrt(19))/5 ,x=(1-2sqrt(19))/5

Solve for x: x-2/5 = 3/x

The solution is x=(1+2sqrt(19))/5 ,x=(1-2sqrt(19))/5

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

x = \frac{1 + 2 19}{5}, x = \frac{1 - 2 19}{5}

Decimal Notation

x = 1.94355 \dots, x = - 1.54355 \dots

Solution steps

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

Multiply both sides by

x

x^{2} - \frac{2}{5} x = 3

Solve

x^{2} - \frac{2}{5} x = 3 : x = \frac{1 + 2 19}{5}, x = \frac{1 - 2 19}{5}

x = \frac{1 + 2 19}{5}, x = \frac{1 - 2 19}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1 + 2 19}{5}, x = \frac{1 - 2 19}{5}

200 = \frac{40 + 20 x}{1 + 0.05 x}

\frac{44}{x} = 4

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

6 = \frac{( - 2 x + 2 )}{x + 3}

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

What is the answer to x-2/5 = 3/x ?
The answer to x-2/5 = 3/x is x=(1+2sqrt(19))/5 ,x=(1-2sqrt(19))/5
Solve for x: x-2/5 = 3/x
The solution is x=(1+2sqrt(19))/5 ,x=(1-2sqrt(19))/5