解不等式x≥(x^2-2x-1)⼀x-1

解不等式x≥(x^2-2x-1)/x-1
2025-01-08 01:39:27
推荐回答(2个)
回答1:

x≥(x^2-2x-1)/x-1
(x²-2x-1+x-x²)/(x-1)≦0
(-x-1)/(x-1)≦0
(x+1)/(x-1)≧0
(x+1)(x-1)≧0,且x≠ 1
所以不等式的解:x>1或x≦-1

回答2:

(x²-2x-1)/x-1-x<=0
(x²-2x-1-x-x²)/x<=0
(-3x-1)/x<=0
即x(3x+1)>=0
分母不等于0
所以x≤-1/3,x>0