-3x^2+30x-72=0

解

- 3 x^{2} + 30 x - 72 = 0

x = 4, x = 6

解答ステップ

- 3 x^{2} + 30 x - 72 = 0

解くとthe二次式

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 ( - 3 ) ( - 72 )}{2 ( - 3 )}

3 0^{2} - 4 (- 3) (- 72) = 6

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

解を分離する

x_{1} = \frac{- 30 + 6}{2 ( - 3 )}, x_{2} = \frac{- 30 - 6}{2 ( - 3 )}

x = \frac{- 30 + 6}{2 ( - 3 )} : 4

x = \frac{- 30 - 6}{2 ( - 3 )} : 6

二次equationの解:

x = 4, x = 6