本週的問題

更新於Feb 11, 2019 4:37 PM

您如何解決方程\((4+4m)\times \frac{3-m}{5}=\frac{12}{5}\)?

以下是答案。



\[(4+4m)\times \frac{3-m}{5}=\frac{12}{5}\]

1
簡化\((4+4m)\times \frac{3-m}{5}\)至\(\frac{(4+4m)(3-m)}{5}\)
\[\frac{(4+4m)(3-m)}{5}=\frac{12}{5}\]

2
抽出相同的項目\(4\)
\[\frac{4(1+m)(3-m)}{5}=\frac{12}{5}\]

3
將兩邊乘以\(5\)
\[4(1+m)(3-m)=12\]

4
擴展
\[12-4m+12m-4{m}^{2}=12\]

5
簡化\(12-4m+12m-4{m}^{2}\)至\(12+8m-4{m}^{2}\)
\[12+8m-4{m}^{2}=12\]

6
取消兩邊的\(12\)
\[8m-4{m}^{2}=0\]

7
抽出相同的項目\(4m\)
\[4m(2-m)=0\]

8
求解\(m\)
How?

\[m=0,2\]

完成