-6x^2+30x=0

解

- 6 x^{2} + 30 x = 0

x = 0, x = 5

解答ステップ

- 6 x^{2} + 30 x = 0

解くとthe二次式

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 ( - 6 ) \cdot 0}{2 ( - 6 )}

3 0^{2} - 4 (- 6) \cdot 0 = 30

x_{1, 2} = \frac{- 30 \pm 30}{2 ( - 6 )}

解を分離する

x_{1} = \frac{- 30 + 30}{2 ( - 6 )}, x_{2} = \frac{- 30 - 30}{2 ( - 6 )}

x = \frac{- 30 + 30}{2 ( - 6 )} : 0

x = \frac{- 30 - 30}{2 ( - 6 )} : 5

二次equationの解:

x = 0, x = 5