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

The answer to 1/(2sqrt(x))=1 is x= 1/4

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1/(2sqrt(x))=1

\frac{1}{2 x} = 1

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{1}{2 x} = 1

Multiply both sides by

2 x

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

Simplify

1 = 2 x

Switch sides

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Square both sides:

x = \frac{1}{4}

x = \frac{1}{4}

Verify Solutions:

x = \frac{1}{4}

True

The solution is

x = \frac{1}{4}

x = 6 x - 8

x = 6 x - 5

x + 5 - 2 = 7

5 x - 21 = 2

x^{\frac{3}{2}} = x 2