x+3=t
(t-2)(t-1)(t+1)(t+2)=40
(t^2-4)(t^2-1)=40
t^4-5t^2-36=0
t^2=y
y^2-5y-36=0
D=25+144=169
y1=(5+13)/2=9 ; t=+-3
y2=(5-13)/2=-4-не подходит тк t^2>0
x+3=3; x1=0;
x+3=-3; x2=-6
Ответ x={-6;0}
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Answers & Comments
x+3=t
(t-2)(t-1)(t+1)(t+2)=40
(t^2-4)(t^2-1)=40
t^4-5t^2-36=0
t^2=y
y^2-5y-36=0
D=25+144=169
y1=(5+13)/2=9 ; t=+-3
y2=(5-13)/2=-4-не подходит тк t^2>0
x+3=3; x1=0;
x+3=-3; x2=-6
Ответ x={-6;0}