12x^2-24x-65=115

解

12 x^{2} - 24 x - 65 = 115

x = 5, x = - 3

解答ステップ

12 x^{2} - 24 x - 65 = 115

115

を左側に移動します

12 x^{2} - 24 x - 180 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 12 ( - 180 )}{2 \cdot 12}

(- 24)^{2} - 4 \cdot 12 (- 180) = 96

x_{1, 2} = \frac{- ( - 24 ) \pm 96}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 24 ) + 96}{2 \cdot 12}, x_{2} = \frac{- ( - 24 ) - 96}{2 \cdot 12}

x = \frac{- ( - 24 ) + 96}{2 \cdot 12} : 5

x = \frac{- ( - 24 ) - 96}{2 \cdot 12} : - 3

二次equationの解:

x = 5, x = - 3