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人気のある代数 >

16.1x^2-200x-200=0

解

16.1 x^{2} - 200 x - 200 = 0

解

x = \frac{20 ( 50 + 3305 )}{161}, x = \frac{20 ( 50 - 3305 )}{161}

+1

十進法表記

x = 13.35268 \dots, x = - 0.93032 \dots

解答ステップ

16.1 x^{2} - 200 x - 200 = 0

以下で両辺を乗じる:

10

161 x^{2} - 2000 x - 2000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 2000 ) \pm ( - 2000 ) ^{2} - 4 \cdot 161 ( - 2000 )}{2 \cdot 161}

(- 2000)^{2} - 4 \cdot 161 (- 2000) = 403305

x_{1, 2} = \frac{- ( - 2000 ) \pm 40 3305}{2 \cdot 161}

解を分離する

x_{1} = \frac{- ( - 2000 ) + 40 3305}{2 \cdot 161}, x_{2} = \frac{- ( - 2000 ) - 40 3305}{2 \cdot 161}

x = \frac{- ( - 2000 ) + 40 3305}{2 \cdot 161} : \frac{20 ( 50 + 3305 )}{161}

x = \frac{- ( - 2000 ) - 40 3305}{2 \cdot 161} : \frac{20 ( 50 - 3305 )}{161}

二次equationの解:

x = \frac{20 ( 50 + 3305 )}{161}, x = \frac{20 ( 50 - 3305 )}{161}

グラフ

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