作业帮方程(a-x²)/(a-x)²-1/a=(a-1)/[a³-ax(2a-x)]的正整数解x为_________.当解为正整数时,a应
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![方程(a-x²)/(a-x)²-1/a=(a-1)/[a³-ax(2a-x)]的正整数解x为_________.当解为正整数时,a应](/uploads/image/z/1858117-13-7.jpg?t=%E6%96%B9%E7%A8%8B%28a-x%26%23178%3B%29%2F%28a-x%29%26%23178%3B-1%2Fa%3D%28a-1%29%2F%5Ba%26%23179%3B-ax%282a-x%29%5D%E7%9A%84%E6%AD%A3%E6%95%B4%E6%95%B0%E8%A7%A3x%E4%B8%BA_________.%E5%BD%93%E8%A7%A3%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%E6%97%B6%2Ca%E5%BA%94)
方程(a-x²)/(a-x)²-1/a=(a-1)/[a³-ax(2a-x)]的正整数解x为_________.当解为正整数时,a应
方程(a-x²)/(a-x)²-1/a=(a-1)/[a³-ax(2a-x)]的正整数解x为_________.当解为正整数时,a应
方程(a-x²)/(a-x)²-1/a=(a-1)/[a³-ax(2a-x)]的正整数解x为_________.当解为正整数时,a应
[a³-ax(2a-x)]=a(a-x)²
方程化为：a(a-x²)-(a-x)²=a-1
即-(x-1)²a=x²-1=(x-1)(x+1)------>x=1或-(x-1)a=x+1
x=1或x=(a-1)/(a+1)
x=1.a=(1+x)/(1-x)