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bjrlo
@bjrlo
February 2023
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bonjour, j'ai un dm de maths expertes pour DEMAIN mais je n'y arrive pas, quelqu'un pourrait m'aider s'il vous plaît ?
1) P = ax^3 + bx^2 + cx + d et z1, z2, z3 ses racines complexes.
montrer que : z1 + z2 + z3 = -b/a
z1 z2 + z1 z3 + z2 z3 = c/a
z1z2z3 = -d/a
2) P = anX^n + an-1X^n-1 + ... + a1X + a0 avec z1, z2, ..., zn ses racines complexes.
démontrer les formules de Viète : z1 + z2 + ... + zn = -(an-1)/an
z1z2...zn = (-1)^n(a0)/an
merci d'avance
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