本週的問題

更新於Feb 11, 2019 4:37 PM

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Feb 11, 2019

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

以下是答案。

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

簡化\((4+4m)\times \frac{3-m}{5}\)至\(\frac{(4+4m)(3-m)}{5}\)

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

抽出相同的項目\(4\)

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

將兩邊乘以\(5\)

\[4(1+m)(3-m)=12\]

擴展

\[12-4m+12m-4{m}^{2}=12\]

簡化\(12-4m+12m-4{m}^{2}\)至\(12+8m-4{m}^{2}\)

\[12+8m-4{m}^{2}=12\]

取消兩邊的\(12\)

\[8m-4{m}^{2}=0\]

抽出相同的項目\(4m\)

\[4m(2-m)=0\]

求解\(m\)

How?

\[m=0,2\]

完成