解不等式①4/x−1≤x−1 ②4x+5/x2−2x+8>−1

问题描述:

解不等式①

4
x−1
≤x−1
4x+5
x2−2x+8
>−1

①4x−1≤x−1化为4x−1−(x−1)≤0即:(x−3)(x+1)x−1≥0,由穿根法解得-1≤x<1或x≥3不等式的解集为:{x|-1≤x<1或x≥3}②4x+5x2−2x+8>−1化为4x+5x2−2x+8+1>0即:x2+2x+13x2−2x+8>0即:(x+1)2+12(x−1)2...