Question

СРОЧНО ПОМОГИТЕ !!!!​

Answer 1

1) x^3+x^2-4x+2=0
x^3+x^2+2x^2-2x-2x+2=0
x^2(x-1)+2x(x-1)-2x(x-1)=0
(x-1)(x^2+2x-2)=0
x-1=0
x^2+2x-2=0
x=1
x=-1+корень3
х=-1-корень3

х1=-1+корень3
х2=-1-корень3
х3=1

2) х^3-х^2-8х+12=0
х^3-2х^2+х^2-2х-6х+12=0
х^2(х-2)=+х(х-2)-6(х-2)=0
(х-2)(х^2+х-6)=0
(х-2)(х^2+3х-2х-6)=0
(х-2)(х(х+3)-2(х+3))=0
(х-2)(х+3)(х-2)=0
(х-2)^2(х+3)=0
(х-2)^2=0
х+3=0
х=2
х=-3

х1=2
х2=-3

3) х^3+4х^2+5х+2=0
х^3+х^2+3х^2+3х+2х+2=0
х^2(х+1)+3х(х+1)+2(х+1)=0
(х+1)(х^2+3х+2)=0
(х+1)(х^2+2х+х+2)=0
(х+1)(х(х+2)+х+2)=0
(х+1)(х+2)(х+1)=0
(х+1)^2(х+2)=0
(х+2)^2=0
х+2=0
х=-1
х=-2

х1=-1
х2=-2

4) х^4+4х^3-2х^2-4х+1=0
х^4-х^3+5х^3-5х^2+3х^2-3х-х+1=0
х^3(х-1)+5х^2(х-1)+3х(х-1)-(х-1)=0
(х-1)(х^3+5х^2+3х-1)=0
(х-1)(х^3+х^2+4х^2+4х-х-1)=0
(х-1)(х^2(х+1)+4х(х+1)-(х+1))=0
(х-1)(х+1)(х^2+4х-1)=0
х-1=0
х+1=0
х^2+4х-1=0
х=1
х=-1
х=-2+корень5
х=-2-корень5

х1=-2+корень5
х2=-2-корень5
х3=-1
х4=1

5) на фото

6) 3х^4+5х^3-9х^2-9х+10=0
3х^4-3х^3+8х^3-8х^2-х^2+х+10х+10=0
3х^3(х-1)+8х^2(х-1)-х(х-1)-10(х-1)=0
(х-1)(3х^3+8х^2-х-10)=0
(х-1)(3х^3-3х^2+11х^2-11х+10х-10)=0
(х-1)(3х^2(х-1)+11х(х-1)+10(х-1))=0
(х-1)(х-1)(3х^2+11х+10)=0
(х-1)(х-1)(3х^2+6х+5х+10)=0
(х-1)(х-1)(3х(х+2)+5(х+2))=0
(х-1)(х-1)(х+2)(3х+5)=0
(х-1)^2(х+2)(3х+5)=0
(х-1)^2=0
х+2=0
3х+5=0
х=1
х=-2
х=-5/3
х1=-2

х2=1
х3=-5/3