-5x^2+250x-3000=0

解

- 5 x^{2} + 250 x - 3000 = 0

x = 20, x = 30

解答ステップ

- 5 x^{2} + 250 x - 3000 = 0

解くとthe二次式

x_{1, 2} = \frac{- 250 \pm 25 0 ^{2} - 4 ( - 5 ) ( - 3000 )}{2 ( - 5 )}

25 0^{2} - 4 (- 5) (- 3000) = 50

x_{1, 2} = \frac{- 250 \pm 50}{2 ( - 5 )}

解を分離する

x_{1} = \frac{- 250 + 50}{2 ( - 5 )}, x_{2} = \frac{- 250 - 50}{2 ( - 5 )}

x = \frac{- 250 + 50}{2 ( - 5 )} : 20

x = \frac{- 250 - 50}{2 ( - 5 )} : 30

二次equationの解:

x = 20, x = 30