What is the answer to 9/x-(11)/(x-4)+4=0 ?

The answer to 9/x-(11)/(x-4)+4=0 is x=6,x=-3/2

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9/x-(11)/(x-4)+4=0

\frac{9}{x} - \frac{11}{x - 4} + 4 = 0

x = 6, x = - \frac{3}{2}

Decimal Notation

x = 6, x = - 1.5

Solution steps

\frac{9}{x} - \frac{11}{x - 4} + 4 = 0

Multiply by LCM

9 (x - 4) - 11 x + 4 x (x - 4) = 0

Solve

9 (x - 4) - 11 x + 4 x (x - 4) = 0 : x = 6, x = - \frac{3}{2}

x = 6, x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 4

Combine undefined points with solutions:

x = 6, x = - \frac{3}{2}

y, x = \frac{y}{y + 12}

\frac{6}{( x - 1 )} = \frac{4}{x}

\frac{40}{t} = - 5

\frac{7}{2} = \frac{14}{x}

\frac{x + 1}{3 x + 2} = \frac{5}{3}

What is the answer to 9/x-(11)/(x-4)+4=0 ?
The answer to 9/x-(11)/(x-4)+4=0 is x=6,x=-3/2
Solve for x: 9/x-(11)/(x-4)+4=0
The solution is x=6,x=-3/2