What is the answer to k-2/k-1=0 ?

The answer to k-2/k-1=0 is k=2,k=-1

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k-2/k-1=0

k - \frac{2}{k} - 1 = 0

k = 2, k = - 1

Solution steps

k - \frac{2}{k} - 1 = 0

Multiply both sides by

k

k^{2} - 2 - k = 0

Solve

k^{2} - 2 - k = 0 : k = 2, k = - 1

k = 2, k = - 1

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = 2, k = - 1

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

\frac{3}{4 x - 9} = 27

\frac{100 - x ^{2}}{x} = 2 x

\frac{1}{x} = 0.15

F = \frac{m v ^{2}}{r}, r