??????? ????????? , ????????? ???

??????? ???????? ??????? ????????? ???

f(x)=ax�+bx+c

??????? ???????????? ?????????????? ????? ??????? ???

D=b�-4ac

-x�+2x-15=0

a=-1, b=2, c=-15

??????? ???????????? ???????????? 0-??? ?? ??? ????? ??????? ??? D>0

x? ,x? ????? 2 ???????

??????? ???????????? ???????????? 0-??? ?????? ??? ????? ??????? ??? D=0

x?=x? ?????? ??? 1 ???????

??????? ???????????? ???????????? 0-??? ???? ??? ????? ??????? ??? D<0

????? ???? ??????? ???? ? ??? ??????????.

??????? ???????? ????????? ?????

???????

????????? ????? ?????? ??????? ?????? ?????? ???

?>0 ??? ????????? ????? ?????? ?????

????????? ????? ?????? ??????? ?????? ?????? ???

?<0 ??? ????????? ????? ?????? ?????

D>0 ??? ??????? X ?????????? ????? ?????? ?????? ???

????

D<0 ??? ??????? X ?????????? ????? ?????? ?????? ???

????????????

??????? ????????? ?????? ????? ????????

1. ?? ????? ???????? ?????????? ??????.
2. ??????? ???????????? ????? ??????? ????
3. ??????? ??? ?????, ? ????????????? ???????? ?????????? ????????? ??????? ?????
4. ? ?????????? ???? ????? ??????? + ?????? , ???? ????? ??????? - ???????? ??? ??? ??????

????????? ?????? ?? ????? ?????? ??? ?????? ????? ????? ?????? ????? ???

????? ????? ?????? ?????

????????? ?????? ?? ????? ?????? ????????? ?????? ????? ????? ?????? ????? ???

????? ????? ?????? ?????

??????????? ???????? ????? ?????? ?????? ???

????? ?????? ?????.

ax�+bx+c=0 ??????? ???????????? ??????? ????? ??????? ????? ???

x?,?=(-b�?D)/2a

?????????? ??????? ???????????? ????? ??????? ?????? ????? ???
x�+px+q=0

x?+x?=-p
x?*x?=q

x�+3x+2=0 ???????????? ???? x?, x? ??? x?+x?=?, x?*x?=?

x?+x?=-3
x?*x?=2

x�+2x-15=0 ???????????? ??????? ???

(3; -5)

x�-3x+2<0 ???????????? ??????? ???

x?: ]1;2[