What is the answer to (x-4}{2x+1}=\frac{x-9)/x ?

The answer to (x-4}{2x+1}=\frac{x-9)/x is x=(13+sqrt(205))/2 ,x=(13-sqrt(205))/2

Solve for x: (x-4}{2x+1}=\frac{x-9)/x

The solution is x=(13+sqrt(205))/2 ,x=(13-sqrt(205))/2

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\frac{x - 4}{2 x + 1} = \frac{x - 9}{x}

x = \frac{13 + 205}{2}, x = \frac{13 - 205}{2}

Decimal Notation

x = 13.65891 \dots, x = - 0.65891 \dots

Solution steps

\frac{x - 4}{2 x + 1} = \frac{x - 9}{x}

Cross multiply

(x - 4) x = (2 x + 1) (x - 9)

Solve

(x - 4) x = (2 x + 1) (x - 9) : x = \frac{13 + 205}{2}, x = \frac{13 - 205}{2}

x = \frac{13 + 205}{2}, x = \frac{13 - 205}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}, x = 0

Combine undefined points with solutions:

x = \frac{13 + 205}{2}, x = \frac{13 - 205}{2}

\frac{1}{( x + 3 ) ( x + 3 )} = 1, x \neq = - 3

1332 = \frac{10}{v}

\frac{2}{\frac{x}{2 - x} - 5} = 0

5 = \frac{2}{x}

\frac{m}{a} = \frac{n}{p}

What is the answer to (x-4}{2x+1}=\frac{x-9)/x ?
The answer to (x-4}{2x+1}=\frac{x-9)/x is x=(13+sqrt(205))/2 ,x=(13-sqrt(205))/2
Solve for x: (x-4}{2x+1}=\frac{x-9)/x
The solution is x=(13+sqrt(205))/2 ,x=(13-sqrt(205))/2