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incorrect answer from solve() solving inequality
07-02-2019, 04:46 PM
Post: #4
RE: incorrect answer from solve() solving inequality
Thank you, parisse.

For x is negative, it means that each of 1/(x+sqrt(x)), 1/(x-sqrt(x)) to be complex number. If so, that is correct.

For x is zero,

(1/(x+sqrt(x))+1/(x-sqrt(x)))
= (x-sqrt(x) + x + sqrt(x))/(x^2-x)
= (2x)/(x*(x-1))
and this will be equal to 2/(x-1) if x<> 0 (otherwise, it will be 0/0)

So (1/(x+sqrt(x))+1/(x-sqrt(x))) when x=0 should be undefined. However, lim x->0 of (1/(x+sqrt(x))+1/(x-sqrt(x))) is -2.
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RE: incorrect answer from solve() solving inequality - teerasak - 07-02-2019 04:46 PM



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