What is the answer to 2+1/x =4 ?

The answer to 2+1/x =4 is x= 1/2

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2+1/x =4

2 + \frac{1}{x} = 4

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

2 + \frac{1}{x} = 4

Move

2

to the right side

\frac{1}{x} = 2

Multiply both sides by

x

1 = 2 x

Switch sides

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{y ^{2}}{y + 4} = \frac{16}{y + 4}

\frac{8}{q} + 2 = \frac{q + 4}{q - 1}

\frac{1}{8} + \frac{1}{x} = \frac{1}{2}

2 x + \frac{16}{x ^{2}} = 0

0 = 1 - \frac{9}{x ^{2}}