What is the answer to 6/x =(x-2)/(x-1) ?

The answer to 6/x =(x-2)/(x-1) is x=4+sqrt(10),x=4-sqrt(10)

Solve for x: 6/x =(x-2)/(x-1)

The solution is x=4+sqrt(10),x=4-sqrt(10)

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\frac{6}{x} = \frac{x - 2}{x - 1}

x = 4 + 10, x = 4 - 10

Decimal Notation

x = 7.16227 \dots, x = 0.83772 \dots

Solution steps

\frac{6}{x} = \frac{x - 2}{x - 1}

Cross multiply

6 (x - 1) = x (x - 2)

Solve

6 (x - 1) = x (x - 2) : x = 4 + 10, x = 4 - 10

x = 4 + 10, x = 4 - 10

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 1

Combine undefined points with solutions:

x = 4 + 10, x = 4 - 10

t, G = \frac{d}{1 - t}

15 x = \frac{10}{x} + 12

\frac{y + 4.5}{y} = \frac{28}{10}

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

\frac{5}{p + 5} = - 10

What is the answer to 6/x =(x-2)/(x-1) ?
The answer to 6/x =(x-2)/(x-1) is x=4+sqrt(10),x=4-sqrt(10)
Solve for x: 6/x =(x-2)/(x-1)
The solution is x=4+sqrt(10),x=4-sqrt(10)