Salut,
(x+2)²+(x+3)^3+(x+4)^4-2=0
on remplace x+2 parX
X²+(X+1)^3+(X+2)^4-2=0
X²+X^3+3X²+3X+1-1+((X+2)²+1)((X+2)²-1)=0
X(4X+X²+3)+(X²+4X+5)(X²+4X+3)=0
(4X+X²+3)(X²+5X+5)=0
4X+X²+3=0 OU X²+5X+5=0
(X+2)²=1 (X+5/2)²=5/4
X+2=1 OU X+2=-1 X+5/2=V5/2 X+5/2=-V5/2
x+2=-1 ou x+2=-3 X=(V5-5)/2 X=(-V5-5)/2
x=-3 x=-5 x=(V5-9)/2 x=(-V5-9)/2