suivant: Complex zeros of an
monter: Algebraic expressions
précédent: Complex factorisation : cFactor
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Index
Zeros of an expression : zeros
zeros takes as argument an expression depending on x.
zeros returns a list of values of x where the expression
vanishes. The list may be incomplete in exact mode if the expression
is not polynomial or if intermediate
factorizations have irreducible factors of order strictly
greater than 2.
In real mode, (complex box unchecked in the Cas configuration
or complex_mode:=0), only reals zeros are returned. In
(complex_mode:=1) reals and complex zeros are returned. See
also cZeros to get complex zeros in real mode.
Input in real mode :
zeros(x^
2+4)
Output :
[]
Input in complex mode :
zeros(x^
2+4)
Output :
[-2*i,2*i]
Input in real mode :
zeros(ln(x)^
2-2)
Output :
[exp(sqrt(2)),exp(-(sqrt(2)))]
Input in real mode :
zeros(ln(y)^
2-2,y)
Output :
[exp(sqrt(2)),exp(-(sqrt(2)))]
Input in real mode :
zeros(x*(exp(x))^
2-2*x-2*(exp(x))^
2+4)
Output :
[[log(sqrt(2)),2]
giac documentation written by Renée De Graeve and Bernard Parisse