What is the answer to 1/4 = 1/(2sqrt(x)) ?

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

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1/4 = 1/(2sqrt(x))

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

x = 4

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 2 x = 4 \cdot 1

Expand

1 \cdot 2 x : 2 x

2 x = 4 \cdot 1

Multiply the numbers:

4 \cdot 1 = 4

2 x = 4

Divide both sides by

2

x = 2

Square both sides:

x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

6 x + 6 - 8 = - 2

x^{2} + 4 + 2 = 5 x

2 a - 5 = 3

3 x + 7 = 24

x - 1 = 2 x - 3

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