What is the answer to 1/(2sqrt(x))-1/5 =0 ?

The answer to 1/(2sqrt(x))-1/5 =0 is x= 25/4

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1/(2sqrt(x))-1/5 =0

\frac{1}{2 x} - \frac{1}{5} = 0

x = \frac{25}{4}

Decimal Notation

x = 6.25

Solution steps

\frac{1}{2 x} - \frac{1}{5} = 0

Find Least Common Multiplier of

2 x, 5 : 10 x

Multiply by LCM=

10 x

\frac{1}{2 x} \cdot 10 x - \frac{1}{5} \cdot 10 x = 0 \cdot 10 x

Simplify

5 - 2 x = 0

Move

5

to the right side

- 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}

u^{\frac{1}{2}} + u^{- \frac{1}{2}} = 6

10 = 14 r + 2

- 1 = 5 x - 1 + 7

2 x + 5 = 2 2 x + 1

3 x^{\frac{1}{2}} = 15

What is the answer to 1/(2sqrt(x))-1/5 =0 ?
The answer to 1/(2sqrt(x))-1/5 =0 is x= 25/4
Solve for x: 1/(2sqrt(x))-1/5 =0
The solution is x= 25/4