Vieta's formulae for quartics Flashcards
1
Q
A quartic has the form:
A
ax⁴ + bx³ + cx² + dx + e = 0
2
Q
α + β + γ + δ =
A
-b/a
3
Q
αβ +αγ + αδ + βγ + βδ + γδ = ?
A
c/a
4
Q
αβγ + αβδ + αγδ + βγδ = ?
A
-d/a
5
Q
αβγδ = ?
A
e/a
6
Q
α² + β² + γ² + δ² = ?
A
(α + β + γ + δ)² - 2(αβ +αγ + αδ + βγ + βδ + γδ)
