-2x^2+16x-30=0

解

- 2 x^{2} + 16 x - 30 = 0

x = 3, x = 5

解答ステップ

- 2 x^{2} + 16 x - 30 = 0

解くとthe二次式

x_{1, 2} = \frac{- 16 \pm 1 6 ^{2} - 4 ( - 2 ) ( - 30 )}{2 ( - 2 )}

1 6^{2} - 4 (- 2) (- 30) = 4

x_{1, 2} = \frac{- 16 \pm 4}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 16 + 4}{2 ( - 2 )}, x_{2} = \frac{- 16 - 4}{2 ( - 2 )}

x = \frac{- 16 + 4}{2 ( - 2 )} : 3

x = \frac{- 16 - 4}{2 ( - 2 )} : 5

二次equationの解:

x = 3, x = 5