Question

 

giai phuong trinh :

 

(x+1)^2 * (x+2)+(x+1)^2 *(x-2)=-24

Answer 1

(x+1)^2*(x+2)+(x+1)^2*(x-2)=-24

<=>(x+1)^2*(x+2+x-2)=-24

<=>2x(x+1)^2=-24

<=>x(x^2+2x+1)=-12

<=>x^3+2x^2+x+12=0

<=>(x+3)(x^2-x+4)=0

<=>(x+3)((x+1/2)^2+15/4)=0

<=> x+3=0 hay (x+1/2)^2+15/4=0

<=>x=-3 hay (x+1/2)^2=-15/4(sai)

vậy x=-3

Answer 2

(x+1)^2*(x+2)+(x+1)^2*(x-2)=-24

<=>(x+1)^2*(x+2+x-2)=-24

<=>2x(x+1)^2=-24

<=>x(x^2+2x+1)=-12

<=>x^3+2x^2+x+12=0

<=>(x+3)(x^2-x+4)=0

<=>(x+3)((x+1/2)^2+15/4)=0

<=> x+3=0 hay (x+1/2)^2+15/4=0

<=>x=-3 hay (x+1/2)^2=-15/4(sai)

vậy x=-3