What is the answer to (x+1)/(2-x)=x ?

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

Solve for x: (x+1)/(2-x)=x

The solution is x= 1/2-i(sqrt(3))/2 ,x= 1/2+i(sqrt(3))/2

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

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

Solution steps

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

Multiply both sides by

2 - x

x + 1 = x (2 - x)

Solve

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

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

y, \frac{3}{z - y} = d

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

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

\frac{12}{x} + x = 8

\frac{2 x}{x + 4} = 7 - \frac{8}{x + 4}

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