What is the answer to 1/(2x^{1/2)}-2=0 ?

The answer to 1/(2x^{1/2)}-2=0 is x= 1/16

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1/(2x^{1/2)}-2=0

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

x = \frac{1}{16}

Decimal Notation

x = 0.0625

Solution steps

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

Multiply both sides by

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

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

Simplify

1 - 4 x^{\frac{1}{2}} = 0

Move

1

to the right side

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

Divide both sides by

- 4

x^{\frac{1}{2}} = \frac{1}{4}

Square both sides:

x = \frac{1}{16}

x = \frac{1}{16}

Verify Solutions:

x = \frac{1}{16}

True

The solution is

x = \frac{1}{16}

x + 2 x + 3 x + 25 = 121 x

x + 6 = x + 12

x - x^{2} - 5 = 1

x = 9 x - 17 + 1

What is the answer to 1/(2x^{1/2)}-2=0 ?
The answer to 1/(2x^{1/2)}-2=0 is x= 1/16
Solve for x: 1/(2x^{1/2)}-2=0
The solution is x= 1/16