What is the answer to 1/(2sqrt(x))-1/3 =0 ?

The answer to 1/(2sqrt(x))-1/3 =0 is x= 9/4

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1/(2sqrt(x))-1/3 =0

\frac{1}{2 x} - \frac{1}{3} = 0

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

\frac{1}{2 x} - \frac{1}{3} = 0

Find Least Common Multiplier of

2 x, 3 : 6 x

Multiply by LCM=

6 x

\frac{1}{2 x} \cdot 6 x - \frac{1}{3} \cdot 6 x = 0 \cdot 6 x

Simplify

3 - 2 x = 0

Move

3

to the right side

- 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}

74 - 10 x = x - 9

2 - x = x

2 x + 1 = 5 x - 32

\frac{10 - 5 x}{3 x ^{\frac{1}{3}}} = 0

What is the answer to 1/(2sqrt(x))-1/3 =0 ?
The answer to 1/(2sqrt(x))-1/3 =0 is x= 9/4
Solve for x: 1/(2sqrt(x))-1/3 =0
The solution is x= 9/4