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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 4

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 4 = 2 x \cdot 1

Expand

2 x \cdot 1 : 2 x

1 \cdot 4 = 2 x

Switch sides

2 x = 1 \cdot 4

Multiply the numbers:

1 \cdot 4 = 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

4 x + 5 - x + 4 = 2

12 - x = x - 6

x - 4 = 3 x - 2

10 = \frac{x}{10}

3 x + 10 = x + 4

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