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 = 0.58578 \dots, x = 3.41421 \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