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

The answer to x/(x-2)+5/x =4 is x=1,x= 10/3

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

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

x = 1, x = \frac{10}{3}

Decimal Notation

x = 1, x = 3.33333 \dots

Solution steps

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

Multiply by LCM

x^{2} + 5 (x - 2) = 4 x (x - 2)

Solve

x^{2} + 5 (x - 2) = 4 x (x - 2) : x = 1, x = \frac{10}{3}

x = 1, x = \frac{10}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 1, x = \frac{10}{3}

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

\frac{x - 12}{x - 4} = \frac{3}{5}

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

\frac{y}{2 y + 1} = \frac{2}{5}

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

What is the answer to x/(x-2)+5/x =4 ?
The answer to x/(x-2)+5/x =4 is x=1,x= 10/3
Solve for x: x/(x-2)+5/x =4
The solution is x=1,x= 10/3