-2x^2-10x+100=0

解

- 2 x^{2} - 10 x + 100 = 0

x = - 10, x = 5

解答ステップ

- 2 x^{2} - 10 x + 100 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 2 ) \cdot 100}{2 ( - 2 )}

(- 10)^{2} - 4 (- 2) \cdot 100 = 30

x_{1, 2} = \frac{- ( - 10 ) \pm 30}{2 ( - 2 )}

解を分離する

x_{1} = \frac{- ( - 10 ) + 30}{2 ( - 2 )}, x_{2} = \frac{- ( - 10 ) - 30}{2 ( - 2 )}

x = \frac{- ( - 10 ) + 30}{2 ( - 2 )} : - 10

x = \frac{- ( - 10 ) - 30}{2 ( - 2 )} : 5

二次equationの解:

x = - 10, x = 5