\(D=\frac{3737.43-4343.37}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{37.101.43-4343.37}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{37.4343-4343.37}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{4343.\left(37-37\right)}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{4343.0}{2+4+6+...+100}\)
\(\Rightarrow D=\frac{0}{2+4+6+...+100}\)
\(\Rightarrow D=0\)
Vậy D = 0
ngắn gọn
\(D=\frac{3737.43-4343.37}{2+4+6+...+100}\)
Biến đổi tử số ta có :
\(D_1=3737.43-4343.37\)
\(\Rightarrow D_1=37.101.43-4343.37\)
\(\Rightarrow D_1=\left(43.101\right).37-4343.37\)
\(\Rightarrow D_1=4343.37-4343.37\)
\(\Rightarrow D_1=4343\left(37-37\right)=4343.0=0\)
Thay vào , ta có :
\(\frac{0}{2+4+6+...+100}=0\div\left(2+4+6+...+100\right)=0\)
Vậy : D = 0
