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Video: Cov mis rau kev nrhiav cov hauv paus hniav yog dab tsi?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Nrhiav Roots
Cov qauv rau cov hauv paus yog −b a -frac{b}{a} −ab? (txawm yog hu qhov no a qauv mus me ntsis overboard). Cov keeb kwm rau quadratic polynomial (polynomial nrog degree ob) a x 2 + b x + c ax^2 + bx + c ax2 + bx + c yog muab los ntawm qauv − b ± b 2 − 4 a c 2 a.
Kuj kom paub yog, koj ua li cas nrhiav cov hauv paus ntawm kev sib npaug?
Cov keeb kwm ntawm ib qho quadratic kev sib npaug yog muab los ntawm: x = [-b +/- sqrt(-b^2 - 4ac)]/2a. Sau lub quadratic nyob rau hauv daim ntawv ntawm ax^2 + bx + c = 0. Yog hais tias lub kev sib npaug yog nyob rau hauv daim ntawv y = ax^2 + bx + c, tsuas yog hloov cov y nrog 0. keeb kwm ntawm kev sib npaug yog cov nqi uas qhov y axis sib npaug rau 0.
Ib tug kuj yuav nug, dab tsi yog qhov sum ntawm cov hauv paus hniav ntawm kab zauv? Cov no yog hu ua keeb kwm ntawm lub quadratic kev sib npaug . Rau lub quadratic kev sib npaug ax2+bx+c = 0, the sum ntawm nws keeb kwm = –b/a thiab cov khoom ntawm nws keeb kwm = c/ua. Ib quadratic kev sib npaug tej zaum yuav raug qhia raws li ib yam khoom ntawm ob binomials.
Tom qab ntawd, ua li cas koj pom cov hauv paus ntawm kev ua haujlwm ntawm daim duab?
A hauv paus yog tus nqi rau qhov muab muaj nuj nqi sib npaug zero. Thaum ntawd muaj nuj nqi yog plotted rau a daim duab , cov keeb kwm yog cov ntsiab lus uas muaj nuj nqi hla lub x-axis. Rau ib muaj nuj nqi , f(x), os keeb kwm yog tus nqi ntawm x rau qhov twg f(x) = 0 f (x) = 0.
Muaj pes tsawg lub hauv paus puas muaj qhov sib npaug?
Qhov no txhais tau tias x = 0 yog ib qho ntawm cov keeb kwm . Qhov degree yog 3, yog li peb cia siab tias 3 keeb kwm . Tsuas muaj ib qho ua tau ua ke: 3 keeb kwm : 1 positive, 0 negative and 2 complex.
Pom zoo:
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