What is the answer to 2+8/(x-3)= 4/x ?

The answer to 2+8/(x-3)= 4/x is x= 1/2+i(sqrt(23))/2 ,x= 1/2-i(sqrt(23))/2

Solve for x: 2+8/(x-3)= 4/x

The solution is x= 1/2+i(sqrt(23))/2 ,x= 1/2-i(sqrt(23))/2

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2 + \frac{8}{x - 3} = \frac{4}{x}

x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

Solution steps

2 + \frac{8}{x - 3} = \frac{4}{x}

Multiply by LCM

2 x (x - 3) + 8 x = 4 (x - 3)

Solve

2 x (x - 3) + 8 x = 4 (x - 3) : x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

x = \frac{1}{2} + i \frac{23}{2}, x = \frac{1}{2} - i \frac{23}{2}

\frac{x ^{2} + x}{x} = 4

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

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

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

\frac{7}{3 x} - \frac{13}{4 x} = 1

What is the answer to 2+8/(x-3)= 4/x ?
The answer to 2+8/(x-3)= 4/x is x= 1/2+i(sqrt(23))/2 ,x= 1/2-i(sqrt(23))/2
Solve for x: 2+8/(x-3)= 4/x
The solution is x= 1/2+i(sqrt(23))/2 ,x= 1/2-i(sqrt(23))/2