-400(x)^2+9600x+792000=0

解

- 400 (x)^{2} + 9600 x + 792000 = 0

x = - \frac{- 9600 + 1359360000}{800}, x = \frac{9600 + 1359360000}{800}

十進法表記

x = - 34.08687 \dots, x = 58.08687 \dots

解答ステップ

- 400 x^{2} + 9600 x + 792000 = 0

解くとthe二次式

x_{1, 2} = \frac{- 9600 \pm 960 0 ^{2} - 4 ( - 400 ) \cdot 792000}{2 ( - 400 )}

960 0^{2} - 4 (- 400) \cdot 792000 = 1359360000

x_{1, 2} = \frac{- 9600 \pm 1359360000}{2 ( - 400 )}

解を分離する

x_{1} = \frac{- 9600 + 1359360000}{2 ( - 400 )}, x_{2} = \frac{- 9600 - 1359360000}{2 ( - 400 )}

x = \frac{- 9600 + 1359360000}{2 ( - 400 )} : - \frac{- 9600 + 1359360000}{800}

x = \frac{- 9600 - 1359360000}{2 ( - 400 )} : \frac{9600 + 1359360000}{800}

二次equationの解:

x = - \frac{- 9600 + 1359360000}{800}, x = \frac{9600 + 1359360000}{800}