1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚-3/﹙x²-1﹚-1/﹙2x
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/11/01 06:59:47
1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚-3/﹙x²-1﹚-1/﹙2x²+5x+3﹚=0
2x³+3x²-2x-3=x²(2x+3)-(2x+3)=(x²-1)(2x+3)=(x+1)(x-1)(2x+3)
2x²+5x+3=(2x+3)(x+1)
1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚-3/﹙x²-1﹚-1/﹙2x²+5x+3﹚=0
((x²-1)+21-3(2x+3)-(x-1))/(x+1)(x-1)(2x+3)=0
即x²-1+21-6x-9-x+1=0
x²-7x+12=0
(x-3)(x-4)=0
解得x=3或x=4
2x²+5x+3=(2x+3)(x+1)
1/﹙2x+3﹚+21/﹙2x³+3x²-2x-3﹚-3/﹙x²-1﹚-1/﹙2x²+5x+3﹚=0
((x²-1)+21-3(2x+3)-(x-1))/(x+1)(x-1)(2x+3)=0
即x²-1+21-6x-9-x+1=0
x²-7x+12=0
(x-3)(x-4)=0
解得x=3或x=4
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