Kvadratna jednacina i kvadratna funkcija - Despotović Katarina
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Transcript of Kvadratna jednacina i kvadratna funkcija - Despotović Katarina
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Brojevi x1 i x2 su rešenja
kvadratne jednačine :
ako i samo ako je i
Ove dve jednakosti zovu se Vietove formule.
Čemu one služe?
Osnovna primena da nam pomognu da
kada imamo rešenja x1 i x2
napravimo kvadratnu jednačinu
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U zavisnosti od broja a I diskriminante D razlikujemo 6 tipova grafika.
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Najpre moramo funkciju y = ax^2 + bx + csvesti na takozvani kanonski oblik. Tu nam pomaže formula:
ili ako uvedemo da je:
i
dobijamo
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