What is the answer to 1/x-2/(x-3)=4 ?

The answer to 1/x-2/(x-3)=4 is x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8

Solve for x: 1/x-2/(x-3)=4

The solution is x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8

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\frac{1}{x} - \frac{2}{x - 3} = 4

x = \frac{11 + 73}{8}, x = \frac{11 - 73}{8}

Decimal Notation

x = 2.44300 \dots, x = 0.30699 \dots

Solution steps

\frac{1}{x} - \frac{2}{x - 3} = 4

Multiply by LCM

- x - 3 = 4 x (x - 3)

Solve

- x - 3 = 4 x (x - 3) : x = \frac{11 + 73}{8}, x = \frac{11 - 73}{8}

x = \frac{11 + 73}{8}, x = \frac{11 - 73}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 3

Combine undefined points with solutions:

x = \frac{11 + 73}{8}, x = \frac{11 - 73}{8}

y, y - \frac{1}{x} = 11

\frac{12}{x + 5} = - \frac{12}{5}

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

\frac{x}{x + 1} + \frac{x + 1}{x} = \frac{13}{6}

\frac{5 x}{x - 4} = \frac{3 x}{2 x + 7}

What is the answer to 1/x-2/(x-3)=4 ?
The answer to 1/x-2/(x-3)=4 is x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8
Solve for x: 1/x-2/(x-3)=4
The solution is x=(11+sqrt(73))/8 ,x=(11-sqrt(73))/8