SOLUTION: what are the roots of the equation :- x^2 - underroot 3 = 0.

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Question 867750: what are the roots of the equation :- x^2 - underroot 3 = 0.
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I'm guessing that "underroot" means square root. Of so then equation is:
-x%5E2-sqrt%283%29+=+0

And if this is the equation then we can tell by examination that the equation has no roots/solutions.

No matter what value x has, the -x%5E2 is either negative or zero. The square root of 3 is positive. And when you subtract a positive from a negative (or from zero), as indicated by -x%5E2-sqrt%283%29, there is no way for the expression to end up with a value of zero. -x%5E2-sqrt%283%29 can only have a negative value, no matter what value x has.

P.S. You did not mention complex roots. So I assumed that you were only interested in real roots (of which there are none).If you do want complex roots, then simply use the quadratic formula on -x%5E2-sqrt%283%29+=+0 (with an "a" of -1, a "b" of zero and a "c" of -sqrt%283%29).