阅读下列材料:x+1⼀x=c+1⼀c的解是x1=c,x2=1⼀c;x-1⼀x=c-1⼀c(即x+-1⼀x=c+-1⼀c)的解是x1=c x2=-1⼀c;

2024-12-11 17:24:16
推荐回答(1个)
回答1:

解:(1)猜想的解是x1=c,x2=m/c.
验证:当x=c时,方程左边=c+m/c,方程右边=c+m/c,
∴方程成立;
当x=m/c时,方程左边=m/c+c,方程右边=c+m/c,
∴方程成立;
∴x+m/x=c+m/c(m≠0)的解是x1=c,x2=m/c;

(2)由x+2/(x-1)=a+2/(a-1)得x-1+2/(x-1)=a-1+2/(a-1),
∴x-1=a-1,x-1=2/(a-1),
∴x1=a,x2=(a+1)/(a-1).