What is the answer to x/3+5/(x-5)=0 ?

The answer to x/3+5/(x-5)=0 is x= 5/2+i(sqrt(35))/2 ,x= 5/2-i(sqrt(35))/2

Solve for x: x/3+5/(x-5)=0

The solution is x= 5/2+i(sqrt(35))/2 ,x= 5/2-i(sqrt(35))/2

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\frac{x}{3} + \frac{5}{x - 5} = 0

x = \frac{5}{2} + i \frac{35}{2}, x = \frac{5}{2} - i \frac{35}{2}

Solution steps

\frac{x}{3} + \frac{5}{x - 5} = 0

Multiply by LCM

x (x - 5) + 15 = 0

Solve

x (x - 5) + 15 = 0 : x = \frac{5}{2} + i \frac{35}{2}, x = \frac{5}{2} - i \frac{35}{2}

x = \frac{5}{2} + i \frac{35}{2}, x = \frac{5}{2} - i \frac{35}{2}

\frac{8}{x} = 2 x

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

\frac{x - 3}{x + 1} = 0

\frac{1}{x} + \frac{1}{( x + 1 )} = 1

9 x = \frac{1}{x}

What is the answer to x/3+5/(x-5)=0 ?
The answer to x/3+5/(x-5)=0 is x= 5/2+i(sqrt(35))/2 ,x= 5/2-i(sqrt(35))/2
Solve for x: x/3+5/(x-5)=0
The solution is x= 5/2+i(sqrt(35))/2 ,x= 5/2-i(sqrt(35))/2