Задача 60415 ...

60f93cb4a1c50e1d30442c7d

22.07.2021 12:43:27

Сократите дробь 12y²+5y-2/15y²+16y+4

5f3ea7e3faf909182968ddd9

22.07.2021 13:34:14

★

ax²2+bx+c=a*(x-x_(1))*(x-x_(2))

12y²+5y-2=0
D=25+4*12*2=121
y_(1)=(-5-11)/24=-16/24=-2/3; y_(2)=(-5+11)/24=6/24=1/4


12y²+5y-2=12*(y-(-2/3))*(y-(1/4))
12y²+5y-2=(3y+2)*(4y-1)

15y²+16y+4=0
D=16^2-4*15*4=16

y_(3)=(-16-4)/30=-2/3; y_(4)=(-16+4)/30=-2/5

15y²+16y+4=15*(y-(-2/3))*(y-(-2/5))

15y²+16y+4=(3y+2)*(5y+2)


(12y²+5y–2)/(15y²+16y+4)=(3y+2)*(4y-1)/(3y+2)*(5y+2)=[b](4y-1)/(5y+2)[/b]