What is the answer to 1/(2sqrt(x))-1/7 =0 ?

The answer to 1/(2sqrt(x))-1/7 =0 is x= 49/4

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1/(2sqrt(x))-1/7 =0

\frac{1}{2 x} - \frac{1}{7} = 0

x = \frac{49}{4}

Decimal Notation

x = 12.25

Solution steps

\frac{1}{2 x} - \frac{1}{7} = 0

Find Least Common Multiplier of

2 x, 7 : 14 x

Multiply by LCM=

14 x

\frac{1}{2 x} \cdot 14 x - \frac{1}{7} \cdot 14 x = 0 \cdot 14 x

Simplify

7 - 2 x = 0

Move

7

to the right side

- 2 x = - 7

Divide both sides by

- 2

x = \frac{7}{2}

Square both sides:

x = \frac{49}{4}

x = \frac{49}{4}

Verify Solutions:

x = \frac{49}{4}

True

The solution is

x = \frac{49}{4}

3 x + 5 = 2 - 2 x

4 x + 4 = 9 x + 28

8 x + 9 = x + 2

\frac{8}{x ^{\frac{1}{3}}} - 8 = 0

2 x - 4 - 3 x - 12 = 5 x - 16

What is the answer to 1/(2sqrt(x))-1/7 =0 ?
The answer to 1/(2sqrt(x))-1/7 =0 is x= 49/4
Solve for x: 1/(2sqrt(x))-1/7 =0
The solution is x= 49/4