-10x^2+130x-360=0

解

- 10 x^{2} + 130 x - 360 = 0

x = 4, x = 9

解答ステップ

- 10 x^{2} + 130 x - 360 = 0

解くとthe二次式

x_{1, 2} = \frac{- 130 \pm 13 0 ^{2} - 4 ( - 10 ) ( - 360 )}{2 ( - 10 )}

13 0^{2} - 4 (- 10) (- 360) = 50

x_{1, 2} = \frac{- 130 \pm 50}{2 ( - 10 )}

解を分離する

x_{1} = \frac{- 130 + 50}{2 ( - 10 )}, x_{2} = \frac{- 130 - 50}{2 ( - 10 )}

x = \frac{- 130 + 50}{2 ( - 10 )} : 4

x = \frac{- 130 - 50}{2 ( - 10 )} : 9

二次equationの解:

x = 4, x = 9