6x^2-60x+126=0

解

6 x^{2} - 60 x + 126 = 0

x = 7, x = 3

解答ステップ

6 x^{2} - 60 x + 126 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 6 \cdot 126}{2 \cdot 6}

(- 60)^{2} - 4 \cdot 6 \cdot 126 = 24

x_{1, 2} = \frac{- ( - 60 ) \pm 24}{2 \cdot 6}

解を分離する

x_{1} = \frac{- ( - 60 ) + 24}{2 \cdot 6}, x_{2} = \frac{- ( - 60 ) - 24}{2 \cdot 6}

x = \frac{- ( - 60 ) + 24}{2 \cdot 6} : 7

x = \frac{- ( - 60 ) - 24}{2 \cdot 6} : 3

二次equationの解:

x = 7, x = 3