-x^2+280x-17600=0

解

- x^{2} + 280 x - 17600 = 0

x = 20 (7 - 5), x = 20 (7 + 5)

十進法表記

x = 95.27864 \dots, x = 184.72135 \dots

解答ステップ

- x^{2} + 280 x - 17600 = 0

解くとthe二次式

x_{1, 2} = \frac{- 280 \pm 28 0 ^{2} - 4 ( - 1 ) ( - 17600 )}{2 ( - 1 )}

28 0^{2} - 4 (- 1) (- 17600) = 405

x_{1, 2} = \frac{- 280 \pm 40 5}{2 ( - 1 )}

解を分離する

x_{1} = \frac{- 280 + 40 5}{2 ( - 1 )}, x_{2} = \frac{- 280 - 40 5}{2 ( - 1 )}

x = \frac{- 280 + 40 5}{2 ( - 1 )} : 20 (7 - 5)

x = \frac{- 280 - 40 5}{2 ( - 1 )} : 20 (7 + 5)

二次equationの解:

x = 20 (7 - 5), x = 20 (7 + 5)