cbh wrote:
I am not sure if my solution makes sense, but that's how I get it into my mind(negative values under the square root)
\sqrt{−x∗|x|} = -(x*|x|)^1/2= -(x^2)^1/2 = - (x) = -x
Can someone comment please
cbh and
gmatcracker2018, read, above, from
this post down to
this post. Your issue is discussed.
And to both . . .If you want comments, I think you will have better luck if you format properly. Speaking of, I
think you both mean:
\(\sqrt{−x∗|x|}=\)
\(\sqrt{-(x*|x|)} =\)
\(\sqrt{-(x^2)} =\)
\(- (x) = -x\)
When it is written like that, does it look strange?
Any number squared is positive or 0 (non-negative). Full stop.
When was the last time you took the square root of a negative number?
The people above articulate additional issues more eloquently than I can.
I learned to plug in an actual negative number in these kinds of questions. I recommend it.
santro789 , the negative of a negative is a positive. Change the parentheses, to emphasize "opposite of":
(-)-3 = 3
If \(x<0\), then \(|x|= -x\). This concept can be counterintuitive.
I listed a few ways of thinking about it
here.
Then
Bunuel added even more ways to think about it
just after that, here.
The whole thread is worth reading, IMHO.
Hope that helps.
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