-6x^2+72x-120=0

解

- 6 x^{2} + 72 x - 120 = 0

x = 2, x = 10

解答ステップ

- 6 x^{2} + 72 x - 120 = 0

解くとthe二次式

x_{1, 2} = \frac{- 72 \pm 7 2 ^{2} - 4 ( - 6 ) ( - 120 )}{2 ( - 6 )}

7 2^{2} - 4 (- 6) (- 120) = 48

x_{1, 2} = \frac{- 72 \pm 48}{2 ( - 6 )}

解を分離する

x_{1} = \frac{- 72 + 48}{2 ( - 6 )}, x_{2} = \frac{- 72 - 48}{2 ( - 6 )}

x = \frac{- 72 + 48}{2 ( - 6 )} : 2

x = \frac{- 72 - 48}{2 ( - 6 )} : 10

二次equationの解:

x = 2, x = 10