-4x^2+8000x=0

解

- 4 x^{2} + 8000 x = 0

x = 0, x = 2000

解答ステップ

- 4 x^{2} + 8000 x = 0

解くとthe二次式

x_{1, 2} = \frac{- 8000 \pm 800 0 ^{2} - 4 ( - 4 ) \cdot 0}{2 ( - 4 )}

800 0^{2} - 4 (- 4) \cdot 0 = 8000

x_{1, 2} = \frac{- 8000 \pm 8000}{2 ( - 4 )}

解を分離する

x_{1} = \frac{- 8000 + 8000}{2 ( - 4 )}, x_{2} = \frac{- 8000 - 8000}{2 ( - 4 )}

x = \frac{- 8000 + 8000}{2 ( - 4 )} : 0

x = \frac{- 8000 - 8000}{2 ( - 4 )} : 2000

二次equationの解:

x = 0, x = 2000