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人気のある代数 >

1-0.8x-0.16x^2=0

解

1 - 0.8 x - 0.16 x^{2} = 0

解

x = - \frac{5 ( 1 + 2 )}{2}, x = \frac{5 ( 2 - 1 )}{2}

+1

十進法表記

x = - 6.03553 \dots, x = 1.03553 \dots

解答ステップ

1 - 0.8 x - 0.16 x^{2} = 0

以下で両辺を乗じる:

100

100 - 80 x - 16 x^{2} = 0

標準的な形式で書く

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

- 16 x^{2} - 80 x + 100 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 80 ) \pm ( - 80 ) ^{2} - 4 ( - 16 ) \cdot 100}{2 ( - 16 )}

(- 80)^{2} - 4 (- 16) \cdot 100 = 802

x_{1, 2} = \frac{- ( - 80 ) \pm 80 2}{2 ( - 16 )}

解を分離する

x_{1} = \frac{- ( - 80 ) + 80 2}{2 ( - 16 )}, x_{2} = \frac{- ( - 80 ) - 80 2}{2 ( - 16 )}

x = \frac{- ( - 80 ) + 80 2}{2 ( - 16 )} : - \frac{5 ( 1 + 2 )}{2}

x = \frac{- ( - 80 ) - 80 2}{2 ( - 16 )} : \frac{5 ( 2 - 1 )}{2}

二次equationの解:

x = - \frac{5 ( 1 + 2 )}{2}, x = \frac{5 ( 2 - 1 )}{2}

グラフ

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