What is the answer to 5/(x-10)+5/x =3 ?

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

Solve for x: 5/(x-10)+5/x =3

The solution is x=(5(4+sqrt(10)))/3 ,x=(5(4-sqrt(10)))/3

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\frac{5}{x - 10} + \frac{5}{x} = 3

x = \frac{5 ( 4 + 10 )}{3}, x = \frac{5 ( 4 - 10 )}{3}

Solution steps

\frac{5}{x - 10} + \frac{5}{x} = 3

Multiply by LCM

5 x + 5 (x - 10) = 3 x (x - 10)

Solve

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

x = \frac{5 ( 4 + 10 )}{3}, x = \frac{5 ( 4 - 10 )}{3}

Verify Solutions

Find undefined (singularity) points:

x = 10, x = 0

Combine undefined points with solutions:

x = \frac{5 ( 4 + 10 )}{3}, x = \frac{5 ( 4 - 10 )}{3}

\frac{6}{x} + \frac{x - 3}{4} = 2

0.11 = (\frac{x ^{2}}{0.1 - x})

\frac{3}{x} = \frac{11}{5 x} + 4

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

- \frac{54}{x} = - 6

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