1/(2*sqrt(x))=42 equation
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The solution
Detail solution
Given the equation
$$\frac{1}{2 \sqrt{x}} = 42$$
Because equation degree is equal to = -1/2 - does not contain even numbers in the numerator, then
the equation has single real root.
We raise the equation sides to -2-th degree:
We get:
1 1
----------- = ---
2 2
1 / 1 \ 42
--*|-----|
2 | ___|
2 \\/ x / or
$$4 x = \frac{1}{1764}$$
Divide both parts of the equation by 4
x = 1/1764 / (4)
We get the answer: x = 1/7056
The final answer:
$$x_{1} = \frac{1}{7056}$$
Sum and product of roots
[src]
$$\frac{1}{7056}$$
$$\frac{1}{7056}$$
$$\frac{1}{7056}$$
$$\frac{1}{7056}$$
$$x_{1} = \frac{1}{7056}$$