解方程1/(x+10)+1/(x+40)=1/(x-14),
问题描述:
解方程1/(x+10)+1/(x+40)=1/(x-14),
答
1/(x+10)+1/(x+40)=1/(x-14)1/(x+10)=1/(x-14)-1/(x+40)1/(x+10)=-54/[(x+40)(x-14)](x+40)(x-14)=-54(x+10)x²+26x-560=-54x-540x²+80x-20=0(x+40)²=1620x+40=±9√20x=-40±9√20