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.
