-5x^2-60x-100=0

解

- 5 x^{2} - 60 x - 100 = 0

x = - 10, x = - 2

解答ステップ

- 5 x^{2} - 60 x - 100 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 ( - 5 ) ( - 100 )}{2 ( - 5 )}

(- 60)^{2} - 4 (- 5) (- 100) = 40

x_{1, 2} = \frac{- ( - 60 ) \pm 40}{2 ( - 5 )}

解を分離する

x_{1} = \frac{- ( - 60 ) + 40}{2 ( - 5 )}, x_{2} = \frac{- ( - 60 ) - 40}{2 ( - 5 )}

x = \frac{- ( - 60 ) + 40}{2 ( - 5 )} : - 10

x = \frac{- ( - 60 ) - 40}{2 ( - 5 )} : - 2

二次equationの解:

x = - 10, x = - 2