What is the answer to 1/(2sqrt(x))= 1/3 ?

The answer to 1/(2sqrt(x))= 1/3 is x= 9/4

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1/(2sqrt(x))= 1/3

\frac{1}{2 x} = \frac{1}{3}

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

\frac{1}{2 x} = \frac{1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 3 = 2 x \cdot 1

Expand

2 x \cdot 1 : 2 x

1 \cdot 3 = 2 x

Switch sides

2 x = 1 \cdot 3

Multiply the numbers:

1 \cdot 3 = 3

2 x = 3

Divide both sides by

2

x = \frac{3}{2}

Square both sides:

x = \frac{9}{4}

x = \frac{9}{4}

Verify Solutions:

x = \frac{9}{4}

True

The solution is

x = \frac{9}{4}

6 x - 14 = x - 1

x + 2 + x = 4

12 + x - 1 - x = 1

x^{\frac{4}{3}} - 5 x^{\frac{2}{3}} + 6 = 0

x + 20 + 2 x = 2

What is the answer to 1/(2sqrt(x))= 1/3 ?
The answer to 1/(2sqrt(x))= 1/3 is x= 9/4
Solve for x: 1/(2sqrt(x))= 1/3
The solution is x= 9/4