What is the answer to X((200)/(X-1))+10X=200 ?

The answer to X((200)/(X-1))+10X=200 is X= 1/2+i(sqrt(79))/2 ,X= 1/2-i(sqrt(79))/2

Solve for X: X((200)/(X-1))+10X=200

The solution is X= 1/2+i(sqrt(79))/2 ,X= 1/2-i(sqrt(79))/2

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X (\frac{200}{X - 1}) + 10 X = 200

X = \frac{1}{2} + i \frac{79}{2}, X = \frac{1}{2} - i \frac{79}{2}

Solution steps

X (\frac{200}{X - 1}) + 10 X = 200

Simplify

X (\frac{200}{X - 1}) : \frac{200 X}{X - 1}

\frac{200 X}{X - 1} + 10 X = 200

Multiply both sides by

X - 1

200 X + 10 X (X - 1) = 200 (X - 1)

Solve

200 X + 10 X (X - 1) = 200 (X - 1) : X = \frac{1}{2} + i \frac{79}{2}, X = \frac{1}{2} - i \frac{79}{2}

X = \frac{1}{2} + i \frac{79}{2}, X = \frac{1}{2} - i \frac{79}{2}

x + \frac{10}{x} = 11

a, b = \frac{a}{1 - a}

\frac{v - 7}{v + 10} = \frac{3}{5}

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

\frac{7}{c - 3} = c + 3

What is the answer to X((200)/(X-1))+10X=200 ?
The answer to X((200)/(X-1))+10X=200 is X= 1/2+i(sqrt(79))/2 ,X= 1/2-i(sqrt(79))/2
Solve for X: X((200)/(X-1))+10X=200
The solution is X= 1/2+i(sqrt(79))/2 ,X= 1/2-i(sqrt(79))/2