-3x^2+12x-9=0

解

- 3 x^{2} + 12 x - 9 = 0

x = 1, x = 3

解答ステップ

- 3 x^{2} + 12 x - 9 = 0

解くとthe二次式

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 ( - 3 ) ( - 9 )}{2 ( - 3 )}

1 2^{2} - 4 (- 3) (- 9) = 6

x_{1, 2} = \frac{- 12 \pm 6}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- 12 + 6}{2 ( - 3 )}, x_{2} = \frac{- 12 - 6}{2 ( - 3 )}

x = \frac{- 12 + 6}{2 ( - 3 )} : 1

x = \frac{- 12 - 6}{2 ( - 3 )} : 3

二次equationの解:

x = 1, x = 3