What is the answer to (x+3)/(1-x)=(x+1)/(x+2) ?

The answer to (x+3)/(1-x)=(x+1)/(x+2) is x=-5/4+i(sqrt(15))/4 ,x=-5/4-i(sqrt(15))/4

Solve for x: (x+3)/(1-x)=(x+1)/(x+2)

The solution is x=-5/4+i(sqrt(15))/4 ,x=-5/4-i(sqrt(15))/4

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

x = - \frac{5}{4} + i \frac{15}{4}, x = - \frac{5}{4} - i \frac{15}{4}

Solution steps

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

Cross multiply

(x + 3) (x + 2) = (1 - x) (x + 1)

Solve

(x + 3) (x + 2) = (1 - x) (x + 1) : x = - \frac{5}{4} + i \frac{15}{4}, x = - \frac{5}{4} - i \frac{15}{4}

x = - \frac{5}{4} + i \frac{15}{4}, x = - \frac{5}{4} - i \frac{15}{4}

\frac{x ^{2} - 4 x}{x - 2} = \frac{14 - 9 x}{x - 2}

\frac{x - 12}{3 - x} = \frac{x + 4}{x + 7}

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

\frac{2}{x} - \frac{3}{2} = \frac{7}{2 x}

6 = x^{3} - \frac{4}{x}

What is the answer to (x+3)/(1-x)=(x+1)/(x+2) ?
The answer to (x+3)/(1-x)=(x+1)/(x+2) is x=-5/4+i(sqrt(15))/4 ,x=-5/4-i(sqrt(15))/4
Solve for x: (x+3)/(1-x)=(x+1)/(x+2)
The solution is x=-5/4+i(sqrt(15))/4 ,x=-5/4-i(sqrt(15))/4