解不等式 x/(x^2-8x+15)》2

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解不等式x/(x^2-8x+15)》2解不等式x/(x^2-8x+15)》2解不等式x/(x^2-8x+15)》2x/(x²-8x+15)-2≥0(x-2x²+16x-30)/(x

解不等式 x/(x^2-8x+15)》2
解不等式 x/(x^2-8x+15)》2

解不等式 x/(x^2-8x+15)》2
x/(x²-8x+15)-2≥0
(x-2x²+16x-30)/(x^2-8x+15)≥0
(2x²-17x+30)/(x²-8x+15)≤0
即(2x²-17x+30)(x²-8x+15)≤0
(2x-5)(x-6)(x-3)(x-5)≤0
零点是5/2,3,5,6
所以由穿针法
5/2≤x≤3,5≤x≤6
分母不等于0
所以5/2≤x<3,5