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Hanka B.
matematika

Nekladné hodnoty kvadratickej funkcie

Dobrý deň, prosím o pomoc s úlohou.. Ďakujem veľmi pekne:)

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Peter K.
Peter K. Contact
Pri x² máme kladné číslo, takže nekladné hodnoty budú korene a interval medzi nimi - na krajoch si funkcia veselo pofrčí do nekonečna. Takže program: nájdeme korene a uzatvorený interval medzi nimi (teda taký, ktorý obsahuje aj tie korene) je to, čo sa žiada.
Korene: Diskriminant je D = b² - 4ac = (-2)² - 4(3)(-8) = 4 + 96 = 100, √D = 10, x₁₂ = (-b ± √D)/2a = (2 ±10)/6 = [-4/3, 2]. Uzavretý interval medzi koreňmi je <-4/3,2> a to je riešenie.
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