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

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

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

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

x = 1

Solution steps

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

Find Least Common Multiplier of

2, 2 x : 2 x

Multiply by LCM=

2 x

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

Simplify

x - 1 = 0

Move

1

to the right side

x = 1

Square both sides:

x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

\frac{1}{2} x^{2} = 2 x + 1

\frac{- 2 x ^{2} + 100}{100 - x ^{2}} = 0

2 x^{\frac{1}{2}} - 5 x^{\frac{1}{4}} = 3

x + 3 = 2 x - 1

8 x - 13 = 1

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