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Any way to solve parametric inequations?
09-13-2021, 07:42 PM
Post: #7
RE: Any way to solve parametric inequations?
CAS> assume(y≥0)
CAS> solve(x*y/(x+y)^2 ≤ 0, x)       → {x<(-y),(x>(-y)) AND (x≤0)}
CAS> assume(y<0)
CAS> solve(x*y/(x+y)^2 ≤ 0, x)       → {(x≥0) AND (x<(-y)),x>(-y)}

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)}
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RE: Any way to solve parametric inequations? - Albert Chan - 09-13-2021 07:42 PM



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