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

The answer to (x-1)/(x+2)= 3/x is x=2+sqrt(10),x=2-sqrt(10)

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

The solution is x=2+sqrt(10),x=2-sqrt(10)

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

x = 2 + 10, x = 2 - 10

Decimal Notation

x = 5.16227 \dots, x = - 1.16227 \dots

Solution steps

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

Cross multiply

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

Solve

(x - 1) x = (x + 2) \cdot 3 : x = 2 + 10, x = 2 - 10

x = 2 + 10, x = 2 - 10

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = 2 + 10, x = 2 - 10

5 x = \frac{3}{x} - \frac{11}{2}

\frac{5}{x + 4} + \frac{x}{x - 2} = 1

24 = \frac{5}{x}

108 = \frac{38.8}{1 + 12 x} \cdot 4

\frac{- 1}{x - 1} = 1 - \frac{2}{x + 5}

What is the answer to (x-1)/(x+2)= 3/x ?
The answer to (x-1)/(x+2)= 3/x is x=2+sqrt(10),x=2-sqrt(10)
Solve for x: (x-1)/(x+2)= 3/x
The solution is x=2+sqrt(10),x=2-sqrt(10)