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François Viète Viète'i teoreem | Navigeerimismenüü

Prantsuse matemaatikudSündinud 1540Surnud 1603


15401603matemaatikalgebras












François Viète




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François Viète


François Viète (ladina k. Franciscus Vieta; 1540 – 23. veebruar 1603) oli prantsuse matemaatik, kelle töö algebras oli tähtis samm tänapäevase algebra suunas. Ta kasutas valemites tähti parameetritena. Ametilt oli ta jurist.



Viète'i teoreem |


Üldkujulise ruutvõrrandi ax2+bx+c=0displaystyle ax^2+bx+c=0 lahendid x1displaystyle x_1 ja x2displaystyle x_2 rahuldavad võrdusi



x1+x2=−badisplaystyle x_1+x_2=-frac ba,


x1x2=cadisplaystyle x_1x_2=frac ca.

Taandatud ruutvõrrandi x2+px+q=0displaystyle x^2+px+q=0 lahendid x1displaystyle x_1 ja x2displaystyle x_2 rahuldavad võrdusi



x1+x2=−pdisplaystyle x_1+x_2=-p,


x1x2=qdisplaystyle x_1x_2=q.




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