What is the answer to 8/x-(18)/(x-1)+4=0 ?

The answer to 8/x-(18)/(x-1)+4=0 is x=4,x=-1/2

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8/x-(18)/(x-1)+4=0

\frac{8}{x} - \frac{18}{x - 1} + 4 = 0

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

Decimal Notation

x = 4, x = - 0.5

Solution steps

\frac{8}{x} - \frac{18}{x - 1} + 4 = 0

Multiply by LCM

8 (x - 1) - 18 x + 4 x (x - 1) = 0

Solve

8 (x - 1) - 18 x + 4 x (x - 1) = 0 : x = 4, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

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

x, f = \frac{4}{x} f (0)

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

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

10 = \frac{30}{0.02 x ^{2} + 1}

\frac{1}{6 x} = 9

What is the answer to 8/x-(18)/(x-1)+4=0 ?
The answer to 8/x-(18)/(x-1)+4=0 is x=4,x=-1/2
Solve for x: 8/x-(18)/(x-1)+4=0
The solution is x=4,x=-1/2