Answer:
1. X¹ = -1, X² = 1
SOLUTION:
2 (X+ 1) × (X-1) =0
2 (X² - 1) =0
2X² - 2=0
X² - 1=0
X² =1
X= - 1
X= 1
X¹ = - 1, X²=1
2. X¹ = - 4, X²=-2, X³=1, X⁴=3
SOLUTION:
X⁴ - X³ + 3X³- 3X² - 10X² +10X - 24X +24=0
X³ × (X-1) +3X² ×(X-1) -10X × (X-1) -24 (X-1)=0
(X-1) × (X³ + 3X² - 10X - 24) =0
(X-1) × (X³ + 2X² +X² +2X - 12X - 24) =0
(X-1) × (X² ×(X +2) + X × (X+2)=0
(X-1) × (X+2) × (X²+X-12) =0
X-1 = 0
X+2 =0
X+4 =0
X-3 =0
X=1
X=-2
X= -4
X=3
X¹= - 4, X² = -2, X³=1, X⁴ =3
