Question

$\frac{1}{ \sqrt{x} } + 2 = 0 \\ \\ find \: the \: value \: of \: x.$

#Answer the question with steps#

Answer 1

Heya

✓✓ The Square Root, whenever written, always expresses the Positive Result, and so, the sum of two positives can never add up to Zero !

$\frac{1}{ \sqrt{x} } + 2 = 0$

$= > \sqrt{x} = - \frac{ 1}{2}$

But this implies Positive = Negative :(

So indeed, the Question Has No solution !

____________________

Someone seems to be lacking the knowledge ^^"

Well, there's these

( i ) Square Roots

( ii ) x^( 1 / 2 ) types :

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

and another way of Writing Equations ->

( iii )

$x^{2} = 4$

! Caution : The third one can always except the answer ( -2 ) but however, the first and the second would never have "x" as Negative Real Numbers

-> The reason being, the first and second are called Primitive Roots and they always represent the Positive Root !

One can argue that [ ( -2 )^2 = 4 ] but conversely, [ √( 4 ) = -2 ] is wrong !

So, I request you please give a thought