What is the answer to (20)/(x-1)=2x+3 ?

The answer to (20)/(x-1)=2x+3 is x=(-1+sqrt(185))/4 ,x=(-1-sqrt(185))/4

Solve for x: (20)/(x-1)=2x+3

The solution is x=(-1+sqrt(185))/4 ,x=(-1-sqrt(185))/4

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\frac{20}{x - 1} = 2 x + 3

x = \frac{- 1 + 185}{4}, x = \frac{- 1 - 185}{4}

Decimal Notation

x = 3.15036 \dots, x = - 3.65036 \dots

Solution steps

\frac{20}{x - 1} = 2 x + 3

Multiply both sides by

x - 1

20 = 2 x (x - 1) + 3 (x - 1)

Solve

20 = 2 x (x - 1) + 3 (x - 1) : x = \frac{- 1 + 185}{4}, x = \frac{- 1 - 185}{4}

x = \frac{- 1 + 185}{4}, x = \frac{- 1 - 185}{4}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{- 1 + 185}{4}, x = \frac{- 1 - 185}{4}

\frac{r}{2} - 1 = \frac{4}{r}

\frac{x + 2}{8} = \frac{9}{x + 8}

\frac{18}{x - 6} + 2 = \frac{6}{x - 6}

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

\frac{4}{9 y - 10} = - 6

What is the answer to (20)/(x-1)=2x+3 ?
The answer to (20)/(x-1)=2x+3 is x=(-1+sqrt(185))/4 ,x=(-1-sqrt(185))/4
Solve for x: (20)/(x-1)=2x+3
The solution is x=(-1+sqrt(185))/4 ,x=(-1-sqrt(185))/4