-2x^2+108x+1=1009

解

- 2 x^{2} + 108 x + 1 = 1009

x = 12, x = 42

解答ステップ

- 2 x^{2} + 108 x + 1 = 1009

1009

を左側に移動します

- 2 x^{2} + 108 x - 1008 = 0

解くとthe二次式

x_{1, 2} = \frac{- 108 \pm 10 8 ^{2} - 4 ( - 2 ) ( - 1008 )}{2 ( - 2 )}

10 8^{2} - 4 (- 2) (- 1008) = 60

x_{1, 2} = \frac{- 108 \pm 60}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- 108 + 60}{2 ( - 2 )}, x_{2} = \frac{- 108 - 60}{2 ( - 2 )}

x = \frac{- 108 + 60}{2 ( - 2 )} : 12

x = \frac{- 108 - 60}{2 ( - 2 )} : 42

二次equationの解:

x = 12, x = 42