What is the answer to x/(2x-1)-6/(4-x)=3 ?

The answer to x/(2x-1)-6/(4-x)=3 is x=(35+sqrt(865))/(10),x=(35-sqrt(865))/(10)

Solve for x: x/(2x-1)-6/(4-x)=3

The solution is x=(35+sqrt(865))/(10),x=(35-sqrt(865))/(10)

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\frac{x}{2 x - 1} - \frac{6}{4 - x} = 3

x = \frac{35 + 865}{10}, x = \frac{35 - 865}{10}

Decimal

x = 6.44108 \dots, x = 0.55891 \dots

Solution steps

\frac{x}{2 x - 1} - \frac{6}{4 - x} = 3

Multiply by LCM

x (- x + 4) - 6 (2 x - 1) = 3 (- x + 4) (2 x - 1)

Solve

x (- x + 4) - 6 (2 x - 1) = 3 (- x + 4) (2 x - 1) : x = \frac{35 + 865}{10}, x = \frac{35 - 865}{10}

x = \frac{35 + 865}{10}, x = \frac{35 - 865}{10}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}, x = 4

Combine undefined points with solutions:

x = \frac{35 + 865}{10}, x = \frac{35 - 865}{10}

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

\frac{6}{x ^{2}} = 0

\frac{6}{x + 2} = \frac{2}{5}

8 = \frac{6}{m} + 5

8 + 36 u^{- 2} = 41 u^{- 1}

What is the answer to x/(2x-1)-6/(4-x)=3 ?
The answer to x/(2x-1)-6/(4-x)=3 is x=(35+sqrt(865))/(10),x=(35-sqrt(865))/(10)
Solve for x: x/(2x-1)-6/(4-x)=3
The solution is x=(35+sqrt(865))/(10),x=(35-sqrt(865))/(10)