Giả phương trình (x-1)(x-2)(x-3)(x-4)=(x+1)(x+2)(x+3)(x+4) 07/12/2021 Bởi Hadley Giả phương trình (x-1)(x-2)(x-3)(x-4)=(x+1)(x+2)(x+3)(x+4)
(x-1)(x-2)(x-3)(x-4)=(x+1)(x+2)(x+3)(x+4) (x^2-2x-x+2)(x-3)(x-4)=(x^2+3x+2)(x+3)(x+4) (x^2-3x+2)(x-3)(x-4)=(x^2+3x+2)(x+3)(x+4) (x^3-3x^2-3x^2+9x+2x-6)(x-4)=(x^3+3x^2+3x^2+9x+2x+6)(x+4) (x^3-6x^2+11x-6)(x-4)=(x^3+6x^2+11x+6)(x+4) x^4-4x^3-6x^3+24x^2+11x^2-44x-6x+24=x^4+4x^3+6x^3+24x^2+11x^2+44x+6x+24 -4x^3-6x^3-44x-6x=4^3+6x^3+44x+6x -10x^3-50x=10x^3+50x -10x(x^2+5-(-x^2-5))=0 -10x(2x^2+10)=0 x(x^2+5)=0 x=0 Bình luận
(x-1)(x-2)(x-3)(x-4)=(x+1)(x+2)(x+3)(x+4)
(x^2-2x-x+2)(x-3)(x-4)=(x^2+3x+2)(x+3)(x+4)
(x^2-3x+2)(x-3)(x-4)=(x^2+3x+2)(x+3)(x+4)
(x^3-3x^2-3x^2+9x+2x-6)(x-4)=(x^3+3x^2+3x^2+9x+2x+6)(x+4)
(x^3-6x^2+11x-6)(x-4)=(x^3+6x^2+11x+6)(x+4)
x^4-4x^3-6x^3+24x^2+11x^2-44x-6x+24=x^4+4x^3+6x^3+24x^2+11x^2+44x+6x+24
-4x^3-6x^3-44x-6x=4^3+6x^3+44x+6x
-10x^3-50x=10x^3+50x
-10x(x^2+5-(-x^2-5))=0
-10x(2x^2+10)=0
x(x^2+5)=0
x=0