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人気のある代数 >

17500x^2+6140x+37000=0

解

17500 x^{2} + 6140 x + 37000 = 0

解

x = - \frac{307}{1750} + i \frac{6380751}{1750}, x = - \frac{307}{1750} - i \frac{6380751}{1750}

解答ステップ

17500 x^{2} + 6140 x + 37000 = 0

以下で両辺を割る

17500

\frac{17500 x ^{2}}{17500} + \frac{6140 x}{17500} + \frac{37000}{17500} = \frac{0}{17500}

標準的な形式で書く

a x^{2} + b x + c = 0

x^{2} + \frac{307 x}{875} + \frac{74}{35} = 0

解くとthe二次式

x_{1, 2} = \frac{- \frac{307}{875} \pm ( \frac{307}{875} ) ^{2} - 4 \cdot 1 \cdot \frac{74}{35}}{2 \cdot 1}

簡素化

(\frac{307}{875})^{2} - 4 \cdot 1 \cdot \frac{74}{35} : i \frac{6380751}{875}

x_{1, 2} = \frac{- \frac{307}{875} \pm i \frac{6380751}{875}}{2 \cdot 1}

解を分離する

x_{1} = \frac{- \frac{307}{875} + i \frac{6380751}{875}}{2 \cdot 1}, x_{2} = \frac{- \frac{307}{875} - i \frac{6380751}{875}}{2 \cdot 1}

x = \frac{- \frac{307}{875} + i \frac{6380751}{875}}{2 \cdot 1} : - \frac{307}{1750} + i \frac{6380751}{1750}

x = \frac{- \frac{307}{875} - i \frac{6380751}{875}}{2 \cdot 1} : - \frac{307}{1750} - i \frac{6380751}{1750}

二次equationの解:

x = - \frac{307}{1750} + i \frac{6380751}{1750}, x = - \frac{307}{1750} - i \frac{6380751}{1750}

グラフ

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