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人気のある代数 >

solvefor x,1000000x^2-6200x+9=0

解

x, 1000000 x^{2} - 6200 x + 9 = 0

解

x = \frac{31 + 61}{10000}, x = \frac{31 - 61}{10000}

+1

十進法表記

x = 0.00388 \dots, x = 0.00231 \dots

解答ステップ

1000000 x^{2} - 6200 x + 9 = 0

以下で両辺を割る

1000000

\frac{1000000 x ^{2}}{1000000} - \frac{6200 x}{1000000} + \frac{9}{1000000} = \frac{0}{1000000}

標準的な形式で書く

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

x^{2} - \frac{31 x}{5000} + \frac{9}{1000000} = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - \frac{31}{5000} ) \pm ( - \frac{31}{5000} ) ^{2} - 4 \cdot 1 \cdot \frac{9}{1000000}}{2 \cdot 1}

(- \frac{31}{5000})^{2} - 4 \cdot 1 \cdot \frac{9}{1000000} = \frac{61}{5000}

x_{1, 2} = \frac{- ( - \frac{31}{5000} ) \pm \frac{61}{5000}}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - \frac{31}{5000} ) + \frac{61}{5000}}{2 \cdot 1}, x_{2} = \frac{- ( - \frac{31}{5000} ) - \frac{61}{5000}}{2 \cdot 1}

x = \frac{- ( - \frac{31}{5000} ) + \frac{61}{5000}}{2 \cdot 1} : \frac{31 + 61}{10000}

x = \frac{- ( - \frac{31}{5000} ) - \frac{61}{5000}}{2 \cdot 1} : \frac{31 - 61}{10000}

二次equationの解:

x = \frac{31 + 61}{10000}, x = \frac{31 - 61}{10000}

グラフ

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