数学题求解!先化简,再求值.
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/07 22:46:14
数学题求解!先化简,再求值.
![数学题求解!先化简,再求值.](/uploads/image/z/11364647-23-7.jpg?t=%E6%95%B0%E5%AD%A6%E9%A2%98%E6%B1%82%E8%A7%A3%21%E5%85%88%E5%8C%96%E7%AE%80%2C%E5%86%8D%E6%B1%82%E5%80%BC.)
[3/(x-2)+2/(x+2)] ÷ [(5x²+2x)/(x²-4)]
=[3(x+2)+2(x-2)]/[(x-2)(x+2)] ÷ [x(5x+2)/(x²-4)]
=[(5x+2)/(x²-4)] ÷ [x(5x+2)/(x²-4)]
=1/x
因为x=√6/3
所以原式=3/√6=√6/2
=[3(x+2)+2(x-2)]/[(x-2)(x+2)] ÷ [x(5x+2)/(x²-4)]
=[(5x+2)/(x²-4)] ÷ [x(5x+2)/(x²-4)]
=1/x
因为x=√6/3
所以原式=3/√6=√6/2