Cov txheej txheem:
- Puas yog qhov sib npaug plaub npaug yog tus qauv?
- Cov mis quadratic yog dab tsi thiab nws siv rau dab tsi?
- Yuav ua li cas yog cov piv txwv ntawm tsis yog quadratic equation?
- Leej twg ua tus qauv plaub npaug?
![Puas yog tus qauv plaub npaug? Puas yog tus qauv plaub npaug?](https://i.boatexistence.com/preview/questions/18710311-is-the-quadratic-formula-j.webp)
Video: Puas yog tus qauv plaub npaug?
![Video: Puas yog tus qauv plaub npaug? Video: Puas yog tus qauv plaub npaug?](https://i.ytimg.com/vi/vLuayz262c8/hqdefault.jpg)
2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38
Nyob hauv elementary algebra, tus qauv quadratic yog tus qauv uas muab cov kev daws teeb meem rau ib qho kev sib npaug sib npaugMuaj lwm txoj hauv kev los daws qhov kev sib npaug plaub npaug es tsis txhob siv lub quadratic formula, xws li factoring (direct factoring, grouping, AC method), ua kom tiav cov square, graphing thiab lwm yam.
Puas yog qhov sib npaug plaub npaug yog tus qauv?
Cov qauv plaub npaug pab peb daws txhua qhov kev sib npaug plaub npaug. Ua ntej, peb nqa qhov sib npaug mus rau daim ntawv ax² + bx + c=0, qhov twg a, b, thiab c yog coefficients. Tom qab ntawd, peb ntsaws cov coefficients hauv cov qauv: (-b±√(b²-4ac))/(2a).
Cov mis quadratic yog dab tsi thiab nws siv rau dab tsi?
2 Lus Teb Los Ntawm Cov Kws Qhia Ntawv
Tus qauv quadratic muab cov hauv paus hniav (tseem hu ua xoom lossis x-intercepts) ntawm kev sib npaug plaub npaugIb qho kev sib npaug quadratic yog qhov sib npaug thib ob; nws lub sij hawm siab tshaj yog tsa mus rau lub hwj chim thib ob. Quadratic equations coj daim ntawv ntawm parabola.
Yuav ua li cas yog cov piv txwv ntawm tsis yog quadratic equation?
Piv txwv ntawm NON-quadratic Equations
- bx − 6=0 is NOT a quadratic equation because there is no x2 term.
- x3 − x2 − 5=0 is NOT a quadratic equation because there is a x3lub sij hawm (tsis pub nyob rau hauv quadratic equations).
Leej twg ua tus qauv plaub npaug?
Kev Ua Haujlwm ntawm Al-Khwarizmi
Hauv 825 CE, kwv yees li 2,500 xyoo tom qab cov ntsiav tshuaj Babylonian tau tsim, ib txoj hauv kev zoo ib yam li niaj hnub Quadratic Formula tau sau los ntawm Arab mathematician Muhammad bin Musa al-Khwarizmi nyob rau hauv ib phau ntawv hu ua Hisab al-jabr w'al-muqabala.
Pom zoo:
Qhov twg yog qhov kev ntxub ntxaug ntawm kev sib npaug plaub npaug?
![Qhov twg yog qhov kev ntxub ntxaug ntawm kev sib npaug plaub npaug? Qhov twg yog qhov kev ntxub ntxaug ntawm kev sib npaug plaub npaug?](https://i.boatexistence.com/preview/questions/18687983-where-is-the-discriminant-of-a-quadratic-equation-j.webp)
Tus neeg ntxub ntxaug yog ib feem ntawm cov qauv quadratic hauv qab lub cim square hauv paus: b²-4ac. Tus neeg ntxub ntxaug qhia peb seb puas muaj ob txoj kev daws teeb meem, ib qho kev daws teeb meem, lossis tsis muaj kev daws teeb meem . Yuav ua li cas thiaj nrhiav tau kev ntxub ntxaug ntawm kev daws teeb meem?
Dab tsi yog kev ntxub ntxaug hauv kev sib npaug plaub npaug?
![Dab tsi yog kev ntxub ntxaug hauv kev sib npaug plaub npaug? Dab tsi yog kev ntxub ntxaug hauv kev sib npaug plaub npaug?](https://i.boatexistence.com/preview/questions/18687992-whats-a-discriminant-in-a-quadratic-equation-j.webp)
Tus neeg ntxub ntxaug yog ib feem ntawm cov qauv plaub fab hauv qab lub cim square hauv paus: b²-4ac. Tus neeg ntxub ntxaug qhia peb seb puas muaj ob txoj kev daws teeb meem, ib qho kev daws teeb meem, lossis tsis muaj kev daws teeb meem . Tus nqi sib cais txhais li cas?
Puas yog txhua plaub plaub plaub plaub plaub fab?
![Puas yog txhua plaub plaub plaub plaub plaub fab? Puas yog txhua plaub plaub plaub plaub plaub fab?](https://i.boatexistence.com/preview/questions/18699311-is-every-quadrilateral-a-rectangle-j.webp)
Ib daim duab plaub yog ib qho parallelogram nrog plaub lub kaum sab xis, yog li tag nrho cov duab plaub yog kuj parallelograms thiab quadrilaterals. Ntawm qhov tod tes, tsis yog txhua qhov quadrilaterals thiab parallelograms yog cov duab plaub.
Puas yog cov hauv paus ntawm kev sib npaug plaub npaug?
![Puas yog cov hauv paus ntawm kev sib npaug plaub npaug? Puas yog cov hauv paus ntawm kev sib npaug plaub npaug?](https://i.boatexistence.com/preview/questions/18755598-are-the-roots-of-quadratic-equation-j.webp)
Roots tseem hu ua x-intercepts los yog zeros . … Yog li ntawd, kom nrhiav tau cov hauv paus hniav ntawm ib tug quadratic muaj nuj nqi, peb teem f (x)=0, thiab daws cov kab zauv, ax 2 + bx + c=0. Puas yog lub hauv paus ntawm kev sib npaug ntawm plaub npaug?
Puas yog cov qauv plaub npaug?
![Puas yog cov qauv plaub npaug? Puas yog cov qauv plaub npaug?](https://i.boatexistence.com/preview/questions/18758351-are-of-quadrant-formula-j.webp)
Tus qauv rau thaj tsam ntawm plaub yog 1/4 × cheeb tsam ntawm lub voj voog lossis yog sib npaug rau πr 2 /4 . Thiab cov chav nyob rau thaj tsam ntawm plaub yog m 2 , nti 2 , cm 2. Tus qauv rau cheeb tsam thiab ib puag ncig ntawm lub quadrant yog dab tsi?