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

The answer to 2/x+3/(x-1)=1 is x=3+sqrt(7),x=3-sqrt(7)

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

The solution is x=3+sqrt(7),x=3-sqrt(7)

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

x = 3 + 7, x = 3 - 7

Decimal Notation

x = 5.64575 \dots, x = 0.35424 \dots

Solution steps

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

Multiply by LCM

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

Solve

2 (x - 1) + 3 x = x (x - 1) : x = 3 + 7, x = 3 - 7

x = 3 + 7, x = 3 - 7

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = 3 + 7, x = 3 - 7

10 = \frac{30}{0.02 x ^{2} + 1}

\frac{1}{6 x} = 9

c, f = \frac{c}{c - e}

\frac{4 - 11 m}{m ^{2} - 25} = 0

\frac{( x + 3 ) ( x - 1 )}{x - 1} = 4

What is the answer to 2/x+3/(x-1)=1 ?
The answer to 2/x+3/(x-1)=1 is x=3+sqrt(7),x=3-sqrt(7)
Solve for x: 2/x+3/(x-1)=1
The solution is x=3+sqrt(7),x=3-sqrt(7)