What is the answer to 1/(2sqrt(x))= 1/5 ?

The answer to 1/(2sqrt(x))= 1/5 is x= 25/4

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1/(2sqrt(x))= 1/5

\frac{1}{2 x} = \frac{1}{5}

x = \frac{25}{4}

Decimal Notation

x = 6.25

Solution steps

\frac{1}{2 x} = \frac{1}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

1 \cdot 5 = 2 x \cdot 1

Expand

2 x \cdot 1 : 2 x

1 \cdot 5 = 2 x

Switch sides

2 x = 1 \cdot 5

Multiply the numbers:

1 \cdot 5 = 5

2 x = 5

Divide both sides by

2

x = \frac{5}{2}

Square both sides:

x = \frac{25}{4}

x = \frac{25}{4}

Verify Solutions:

x = \frac{25}{4}

True

The solution is

x = \frac{25}{4}

3 x + 1 = 2 5 - 2 x

22 - x - 10 - x = 2

y + 4 - y + 2 = 0

y, 6 - x^{2} - y^{2} = x^{2} + y^{2}

What is the answer to 1/(2sqrt(x))= 1/5 ?
The answer to 1/(2sqrt(x))= 1/5 is x= 25/4
Solve for x: 1/(2sqrt(x))= 1/5
The solution is x= 25/4