What is the answer to 1/(2k)= 1/2-5/k ?

The answer to 1/(2k)= 1/2-5/k is k=11

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1/(2k)= 1/2-5/k

\frac{1}{2 k} = \frac{1}{2} - \frac{5}{k}

k = 11

Solution steps

\frac{1}{2 k} = \frac{1}{2} - \frac{5}{k}

Multiply by LCM

1 = k - 10

Switch sides

k - 10 = 1

Move

10

to the right side

k = 11

Verify Solutions

Find undefined (singularity) points:

k = 0

Combine undefined points with solutions:

k = 11

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

6 - \frac{4}{x ^{2}} = 0

x, y = \frac{x - t}{x + t}

\frac{x - 119}{x + 7} = - 5

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