What is the answer to (2pi)/x =4 ?

The answer to (2pi)/x =4 is x= pi/2

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(2pi)/x =4

\frac{2 π}{x} = 4

x = \frac{π}{2}

Decimal Notation

x = 1.57079 \dots

Solution steps

\frac{2 π}{x} = 4

Multiply both sides by

x

2 π = 4 x

Switch sides

4 x = 2 π

Divide both sides by

4

x = \frac{π}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{π}{2}

\frac{1}{4 x + x} = \frac{- 3 + 1}{2 x}

\frac{2}{3 x + 15} = 17

\frac{3}{b + 1} = 5

a = \frac{b}{c}, c

\frac{1}{a x} + \frac{1}{b x} = 2