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人気のある代数 >

1-0.9x-0.2x^2=0

解

1 - 0.9 x - 0.2 x^{2} = 0

解

x = - \frac{9 + 161}{4}, x = \frac{161 - 9}{4}

+1

十進法表記

x = - 5.42214 \dots, x = 0.92214 \dots

解答ステップ

1 - 0.9 x - 0.2 x^{2} = 0

以下で両辺を乗じる:

10

10 - 9 x - 2 x^{2} = 0

標準的な形式で書く

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

- 2 x^{2} - 9 x + 10 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 ( - 2 ) \cdot 10}{2 ( - 2 )}

(- 9)^{2} - 4 (- 2) \cdot 10 = 161

x_{1, 2} = \frac{- ( - 9 ) \pm 161}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 9 ) + 161}{2 ( - 2 )}, x_{2} = \frac{- ( - 9 ) - 161}{2 ( - 2 )}

x = \frac{- ( - 9 ) + 161}{2 ( - 2 )} : - \frac{9 + 161}{4}

x = \frac{- ( - 9 ) - 161}{2 ( - 2 )} : \frac{161 - 9}{4}

二次equationの解:

x = - \frac{9 + 161}{4}, x = \frac{161 - 9}{4}

グラフ

人気の例

x^{2} = 4 x - 2

5 x^{2} - 12 x - 5 = - 3 x

4 x^{2} - 7 x + 5 = 0

10 x^{2} = x + 11

completesquare 2x^2-12x

co m pl e t es q u a re 2 x^{2} - 12 x