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

The answer to (2x-1)/(x+1)=(x+1)/(x-2) is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2

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

The solution is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2

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

x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Decimal Notation

x = 6.85410 \dots, x = 0.14589 \dots

Solution steps

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

Cross multiply

(2 x - 1) (x - 2) = (x + 1)^{2}

Solve

(2 x - 1) (x - 2) = (x + 1)^{2} : x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 2

Combine undefined points with solutions:

x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

v, c = \frac{q}{v}

\frac{3}{6 x} - \frac{9}{12} = \frac{11}{4 x}

\frac{13}{6 x} + \frac{5}{3 x ^{2}} = 1

y, x = \frac{2}{y}

\frac{75 k}{75 k + 50} \cdot 100 = 24

What is the answer to (2x-1)/(x+1)=(x+1)/(x-2) ?
The answer to (2x-1)/(x+1)=(x+1)/(x-2) is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2
Solve for x: (2x-1)/(x+1)=(x+1)/(x-2)
The solution is x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2