解不等式:x²-9x+11/x²-2x+1≥7
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解不等式:x²-9x+11/x²-2x+1≥7解不等式:x²-9x+11/x²-2x+1≥7解不等式:x²-9x+11/x²-2x+1≥7x
解不等式:x²-9x+11/x²-2x+1≥7
解不等式:x²-9x+11/x²-2x+1≥7
解不等式:x²-9x+11/x²-2x+1≥7
x²-9x+11/x²-2x+1≥7
[x²-9x+11-7(x²-2x+1)]/(x²-2x+1)≥0
(-6x²+5x+4)/(x-1)²≥0
等价于 6x²-5x-4≤0,且 x≠1
解得 -1/2≤ x ≤4/3 且x≠1
即-1/2≤ x<1或1
当x≠1时,x²-2x+1>0
x²-9x+11/x²-2x+1≥7化为
6x²-5x-4≦0
6x²-5x-4=(2x+1)(3x-4)
得-1/2≦x≦4/3且x≠1
x²-9x+11/x²-2x+1≥7
x²-9x+11≥7(x²-2x+1)
x²-9x+11≥7x²-14x+7
6x²-5x-4≤0
(3x-4)(2x+1)≤0
-1/2≤x≤4/3