a, x+2/x-2+1/x=-8/2x-x^2 b, 3x+1/6-x-3/2+2x-1/3+5 2 CÂU 20 Đ + VOTE + CTLHN TKS 24/10/2021 Bởi aikhanh a, x+2/x-2+1/x=-8/2x-x^2 b, 3x+1/6-x-3/2+2x-1/3+5 2 CÂU 20 Đ + VOTE + CTLHN TKS
a,x+2/x-2+1/x=-8/2x-x^2 (đkxđ x khác 0, x khác 2) ⇔x+2/x-2+1/x=-8/x(2-x) ⇔x(x+2)/x(x-2)+x-2/x(x-2)=8/x(x-2) ⇒x^2+2x+x-2=8 ⇔x^2+3x-10=0 ⇔(x^2-2x)+(5x-10)=0 ⇔x(x-2)+5(x-2)=0 ⇔(x-2)(x+5)=0 ⇔x=2∉đkxđ x=-5∈đkxđ vậy S={-5} Bình luận
a,x+2/x-2+1/x=-8/2x-x^2 (đkxđ x khác 0, x khác 2)
⇔x+2/x-2+1/x=-8/x(2-x)
⇔x(x+2)/x(x-2)+x-2/x(x-2)=8/x(x-2)
⇒x^2+2x+x-2=8
⇔x^2+3x-10=0
⇔(x^2-2x)+(5x-10)=0
⇔x(x-2)+5(x-2)=0
⇔(x-2)(x+5)=0
⇔x=2∉đkxđ
x=-5∈đkxđ
vậy S={-5}