quadraticformula-x^2-4x-2=0

解

- x^{2} - 4 x - 2 = 0

x = - 2 - 2, x = - 2 + 2

十進法表記

x = - 3.41421 \dots, x = - 0.58578 \dots

解答ステップ

- x^{2} - 4 x - 2 = 0

解くとthe二次式

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

(- 4)^{2} - 4 (- 1) (- 2) = 22

x_{1, 2} = \frac{- ( - 4 ) \pm 2 2}{2 ( - 1 )}

解を分離する

x_{1} = \frac{- ( - 4 ) + 2 2}{2 ( - 1 )}, x_{2} = \frac{- ( - 4 ) - 2 2}{2 ( - 1 )}

x = \frac{- ( - 4 ) + 2 2}{2 ( - 1 )} : - 2 - 2

x = \frac{- ( - 4 ) - 2 2}{2 ( - 1 )} : - 2 + 2

二次equationの解:

x = - 2 - 2, x = - 2 + 2