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

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

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

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

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

x = 3, x = - 3

Decimal Notation

x = 1.73205 \dots, x = - 1.73205 \dots

Solution steps

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

Cross multiply

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

Solve

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

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 1

Combine undefined points with solutions:

x = 3, x = - 3

\frac{2}{x} = \frac{x}{5 x - 12}

\frac{x ^{2} + 4 x}{x + 2} = \frac{2 x}{3}

135 = \frac{180 ( x - 2 )}{x}

\frac{3 x ^{2} + a x + a + 3}{x ^{2} + x - 2}

1 + \frac{2}{x - 8} = \frac{2 x}{x ^{2} - x - 56}

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