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

The answer to 1/(2sqrt(x))=2 is x= 1/16

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1/(2sqrt(x))=2

\frac{1}{2 x} = 2

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

\frac{1}{2 x} = 2

Multiply both sides by

2 x

\frac{1}{2 x} \cdot 2 x = 2 \cdot 2 x

Simplify

1 = 4 x

Switch sides

4 x = 1

Divide both sides by

4

x = \frac{1}{4}

Square both sides:

x = \frac{1}{16}

x = \frac{1}{16}

Verify Solutions:

x = \frac{1}{16}

True

The solution is

x = \frac{1}{16}

5 x = x

x - 5 x - 6 = 4

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

x + 1 + 3 x = 1

8 - 7 x = x