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