作业帮解方程﹙x-5x／x+1﹚+[24﹙x+1﹚／x﹙x-5﹚]+14=0?
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/30 13:00:14
![解方程﹙x-5x／x+1﹚+[24﹙x+1﹚／x﹙x-5﹚]+14=0?](/uploads/image/z/313265-65-5.jpg?t=%E8%A7%A3%E6%96%B9%E7%A8%8B%EF%B9%99x-5x%EF%BC%8Fx%2B1%EF%B9%9A%2B%5B24%EF%B9%99x%2B1%EF%B9%9A%EF%BC%8Fx%EF%B9%99x-5%EF%B9%9A%5D%2B14%3D0%3F)
解方程﹙x-5x／x+1﹚+[24﹙x+1﹚／x﹙x-5﹚]+14=0?
解方程﹙x-5x／x+1﹚+[24﹙x+1﹚／x﹙x-5﹚]+14=0?
解方程﹙x-5x／x+1﹚+[24﹙x+1﹚／x﹙x-5﹚]+14=0?
换元法：令(x^2-5x)/(x+1)=t,则(x+1)/(x^2-5x)=1/t,所以原方程换元后为t+24/t+14=0,方程两边同时乘以t得t^2+14t+24=0解得t=-2或t=-12即(x^2-5x)/(x+1)=-2或(x^2-5x)/(x+1)=-12,解(x^2-5x)/(x+1)=-2得:x=1或x=2 解(x^2-5x)/(x+1)=-12得:x=-3或x=-4这题挺难得,仔细看看吧.
解方程﹙x-5x／x+1﹚+[24﹙x+1﹚／x﹙x-5﹚]+14=0?
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解方程X-1/5X=24 X-1/8X=42 X-1/9X=64