-6x^2+36x-30=0

解

- 6 x^{2} + 36 x - 30 = 0

x = 1, x = 5

解答ステップ

- 6 x^{2} + 36 x - 30 = 0

解くとthe二次式

x_{1, 2} = \frac{- 36 \pm 3 6 ^{2} - 4 ( - 6 ) ( - 30 )}{2 ( - 6 )}

3 6^{2} - 4 (- 6) (- 30) = 24

x_{1, 2} = \frac{- 36 \pm 24}{2 ( - 6 )}

解を分離する

x_{1} = \frac{- 36 + 24}{2 ( - 6 )}, x_{2} = \frac{- 36 - 24}{2 ( - 6 )}

x = \frac{- 36 + 24}{2 ( - 6 )} : 1

x = \frac{- 36 - 24}{2 ( - 6 )} : 5

二次equationの解:

x = 1, x = 5