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人気のある代数 >

49-14x-2x^2=0

解

49 - 14 x - 2 x^{2} = 0

解

x = - \frac{7 ( 1 + 3 )}{2}, x = \frac{7 ( 3 - 1 )}{2}

+1

十進法表記

x = - 9.56217 \dots, x = 2.56217 \dots

解答ステップ

49 - 14 x - 2 x^{2} = 0

標準的な形式で書く

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

- 2 x^{2} - 14 x + 49 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 ( - 2 ) \cdot 49}{2 ( - 2 )}

(- 14)^{2} - 4 (- 2) \cdot 49 = 143

x_{1, 2} = \frac{- ( - 14 ) \pm 14 3}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 14 ) + 14 3}{2 ( - 2 )}, x_{2} = \frac{- ( - 14 ) - 14 3}{2 ( - 2 )}

x = \frac{- ( - 14 ) + 14 3}{2 ( - 2 )} : - \frac{7 ( 1 + 3 )}{2}

x = \frac{- ( - 14 ) - 14 3}{2 ( - 2 )} : \frac{7 ( 3 - 1 )}{2}

二次equationの解:

x = - \frac{7 ( 1 + 3 )}{2}, x = \frac{7 ( 3 - 1 )}{2}

グラフ

人気の例

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