27 tháng 11 2016 lúc 19:02
Ta có: \(\frac{x-999}{99}+\frac{x-896}{101}+\frac{x-789}{103}=6\)
\(\Rightarrow\left(\frac{x-999}{99}-1\right)+\left(\frac{x-896}{101}-2\right)+\left(\frac{x-789}{103}-3\right)=6-6\)
\(\Rightarrow\frac{x-1098}{99}+\frac{x-1098}{101}+\frac{x-1098}{103}=0\)
\(\Rightarrow\left(x-1098\right).\left(\frac{1}{99}+\frac{1}{101}+\frac{1}{103}\right)=0\)
Vì \(\frac{1}{99}+\frac{1}{101}+\frac{1}{103}\ne0\)
=> x - 1098 = 0
=> x = 0 + 1098
=> x = 1098
Vậy x = 1098
Đúng 0
Bình luận (0)
