来自李广勋的问题
化简代数式x2−1x2+2x÷x−1x,并判断当x满足不等式组x+2<12(x−1)>−6时该代数式的符号.
化简代数式x2−1x2+2x÷x−1x,并判断当x满足不等式组
x+2<12(x−1)>−6时该代数式的符号.
1回答
2020-09-20 23:19
化简代数式x2−1x2+2x÷x−1x,并判断当x满足不等式组x+2<12(x−1)>−6时该代数式的符号.
化简代数式x2−1x2+2x÷x−1x,并判断当x满足不等式组
x+2<12(x−1)>−6时该代数式的符号.
x2−1x2+2x÷x−1x=x2−1x2+2x•xx−1=(x −1)(x+1)x(x +2)•xx−1=x+1x+2,不等式组x+2<1①2(x−1)>−6②,解不等式①,得x<-1.解不等式②,得x>-2.∴不等式组x+2<12(x−1)>−6的解集是-2<x<-1...