What is the answer to 4/x+10= 4/(x-1) ?

The answer to 4/x+10= 4/(x-1) is x=(5+sqrt(65))/(10),x=(5-sqrt(65))/(10)

Solve for x: 4/x+10= 4/(x-1)

The solution is x=(5+sqrt(65))/(10),x=(5-sqrt(65))/(10)

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\frac{4}{x} + 10 = \frac{4}{x - 1}

x = \frac{5 + 65}{10}, x = \frac{5 - 65}{10}

Decimal Notation

x = 1.30622 \dots, x = - 0.30622 \dots

Solution steps

\frac{4}{x} + 10 = \frac{4}{x - 1}

Multiply by LCM

4 (x - 1) + 10 x (x - 1) = 4 x

Solve

4 (x - 1) + 10 x (x - 1) = 4 x : x = \frac{5 + 65}{10}, x = \frac{5 - 65}{10}

x = \frac{5 + 65}{10}, x = \frac{5 - 65}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = \frac{5 + 65}{10}, x = \frac{5 - 65}{10}

x^{- 1} = 7 + 5

\frac{3}{4 m} - \frac{1}{8 m} = 5

\frac{1}{x + 2} = \frac{3}{8}

2 x - \frac{128000}{x ^{2}} = 0

\frac{32}{x} = 8

What is the answer to 4/x+10= 4/(x-1) ?
The answer to 4/x+10= 4/(x-1) is x=(5+sqrt(65))/(10),x=(5-sqrt(65))/(10)
Solve for x: 4/x+10= 4/(x-1)
The solution is x=(5+sqrt(65))/(10),x=(5-sqrt(65))/(10)