-3x^2-35x-189=13x

解

- 3 x^{2} - 35 x - 189 = 13 x

x = - 9, x = - 7

解答ステップ

- 3 x^{2} - 35 x - 189 = 13 x

13 x

を左側に移動します

- 3 x^{2} - 48 x - 189 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 48 ) \pm ( - 48 ) ^{2} - 4 ( - 3 ) ( - 189 )}{2 ( - 3 )}

(- 48)^{2} - 4 (- 3) (- 189) = 6

x_{1, 2} = \frac{- ( - 48 ) \pm 6}{2 ( - 3 )}

解を分離する

x_{1} = \frac{- ( - 48 ) + 6}{2 ( - 3 )}, x_{2} = \frac{- ( - 48 ) - 6}{2 ( - 3 )}

x = \frac{- ( - 48 ) + 6}{2 ( - 3 )} : - 9

x = \frac{- ( - 48 ) - 6}{2 ( - 3 )} : - 7

二次equationの解:

x = - 9, x = - 7