Any way to solve parametric inequations?
09-14-2021, 12:55 AM
Post: #9
 Albert Chan Senior Member Posts: 1,846 Joined: Jul 2018
RE: Any way to solve parametric inequations?
(09-13-2021 07:42 PM)Albert Chan Wrote:  Or, for y≠0, reduce to simple inequality, with t = x/y

CAS> solve(t/(t+1)^2 ≤ 0, t) ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ ﻿ → {t<-1,(t>-1) AND (t≤0)}
(09-13-2021 09:33 PM)jte Wrote:  … hmmm, yes… what about when y is zero (with the above)? Is a little touching-up appropriate?

For x≠0, y=0, (x*y)/(x+y)^2 = 0/x^2 = 0 (is a solution)
For x = y = 0, we have 0/0 situation. (not a solution)

Or, define t = x/y if y≠0 else y/x (t = NaN will never satisfy)

Even with some edge cases, I still prefer dimensionless solution
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 Messages In This Thread Any way to solve parametric inequations? - dah145 - 09-04-2021, 02:49 AM RE: Any way to solve parametric inequations? - jte - 09-05-2021, 04:30 PM RE: Any way to solve parametric inequations? - dah145 - 09-07-2021, 09:48 PM RE: Any way to solve parametric inequations? - jte - 09-12-2021, 11:42 PM RE: Any way to solve parametric inequations? - parisse - 09-13-2021, 04:49 PM RE: Any way to solve parametric inequations? - roadrunner - 09-13-2021, 06:39 PM RE: Any way to solve parametric inequations? - Albert Chan - 09-13-2021, 07:42 PM RE: Any way to solve parametric inequations? - jte - 09-13-2021, 09:33 PM RE: Any way to solve parametric inequations? - Albert Chan - 09-14-2021 12:55 AM RE: Any way to solve parametric inequations? - jte - 09-14-2021, 05:13 AM RE: Any way to solve parametric inequations? - Albert Chan - 09-14-2021, 09:35 AM RE: Any way to solve parametric inequations? - Albert Chan - 09-14-2021, 10:23 AM RE: Any way to solve parametric inequations? - jte - 09-14-2021, 10:58 PM RE: Any way to solve parametric inequations? - parisse - 09-15-2021, 04:53 AM

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