3/2x+6-1/6-2x+3/9-x^2要过程
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解决时间 2021-01-30 11:45
- 提问者网友：伴风望海
- 2021-01-29 14:23
3/2x+6-1/6-2x+3/9-x^2要过程
最佳答案
- 五星知识达人网友：青尢
- 2021-01-29 14:53
3/2x+6-1/6-2x+3/9-x^2
通分，得
=3(x-3)/(2x+6)(x-3)-(x-3)/(6-2x)(x-3)+6/2(9-x^2)
=3(x-3)/2(x+3)(x-3) + (x+3)/2(x+3)(x-3) - 6/2(x-3)(x+3)
=(3x-9+x+3-6)/2(x-3)(x+3)
=(4x-12)/2(x-3)(x+3)
=4(x-3)/2(x-3)(x+3)
=2/(x+3)
通分，得
=3(x-3)/(2x+6)(x-3)-(x-3)/(6-2x)(x-3)+6/2(9-x^2)
=3(x-3)/2(x+3)(x-3) + (x+3)/2(x+3)(x-3) - 6/2(x-3)(x+3)
=(3x-9+x+3-6)/2(x-3)(x+3)
=(4x-12)/2(x-3)(x+3)
=4(x-3)/2(x-3)(x+3)
=2/(x+3)
全部回答
- 1楼网友：孤独的牧羊人
- 2021-01-29 16:06
√[(x-6)/(9-x)]=√(x-6)/(9-x) (x-6)/(9-x)=(x-6)/(9-x)^2 (x-6)(9-x-1)/(9-x)^2=0 x=6,8 √(1-2x+x^2)+√(3x-1) =x-1+√(3x-1) =6-1+√(3*6-1) 或 8-1+√(3*8-1) =5+√17 或 7+√23
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