3x^2-3x-126=0

解

3 x^{2} - 3 x - 126 = 0

x = 7, x = - 6

解答ステップ

3 x^{2} - 3 x - 126 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 3 ( - 126 )}{2 \cdot 3}

(- 3)^{2} - 4 \cdot 3 (- 126) = 39

x_{1, 2} = \frac{- ( - 3 ) \pm 39}{2 \cdot 3}

解を分離する

x_{1} = \frac{- ( - 3 ) + 39}{2 \cdot 3}, x_{2} = \frac{- ( - 3 ) - 39}{2 \cdot 3}

x = \frac{- ( - 3 ) + 39}{2 \cdot 3} : 7

x = \frac{- ( - 3 ) - 39}{2 \cdot 3} : - 6

二次equationの解:

x = 7, x = - 6