-3x^2+15x-12=0

解

- 3 x^{2} + 15 x - 12 = 0

x = 1, x = 4

解答ステップ

- 3 x^{2} + 15 x - 12 = 0

解くとthe二次式

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 ( - 3 ) ( - 12 )}{2 ( - 3 )}

1 5^{2} - 4 (- 3) (- 12) = 9

x_{1, 2} = \frac{- 15 \pm 9}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- 15 + 9}{2 ( - 3 )}, x_{2} = \frac{- 15 - 9}{2 ( - 3 )}

x = \frac{- 15 + 9}{2 ( - 3 )} : 1

x = \frac{- 15 - 9}{2 ( - 3 )} : 4

二次equationの解:

x = 1, x = 4