(x-2)3+(x+2)3=2x (x2-1)+3

Question

(x-2)3+(x+2)3=2x (x2-1)+3

Answer 1

3x-6+3x+6=2x^3-2x+3
-2x^3+8x=3
пустьx=t
-2t^2+8=3
D=0-4*(-2)*8=64 t1=0-8/-4=2 t2=0+8/-4=-2

Answer 2

3x-6+3x+6=2x(x^2-2x+1)+3;
6x=2x^3-4x+2x+3;
6x=2x^3-2x+3;
2x^3-8x+3=0
2x(x^2-4)+3=0
1)2x+3=0; 2x=-3; x=-1,5
2)x^2-4=0; x1= 2; x2=-2