12x^2-96x+144=0

解

12 x^{2} - 96 x + 144 = 0

x = 6, x = 2

解答ステップ

12 x^{2} - 96 x + 144 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 96 ) \pm ( - 96 ) ^{2} - 4 \cdot 12 \cdot 144}{2 \cdot 12}

(- 96)^{2} - 4 \cdot 12 \cdot 144 = 48

x_{1, 2} = \frac{- ( - 96 ) \pm 48}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 96 ) + 48}{2 \cdot 12}, x_{2} = \frac{- ( - 96 ) - 48}{2 \cdot 12}

x = \frac{- ( - 96 ) + 48}{2 \cdot 12} : 6

x = \frac{- ( - 96 ) - 48}{2 \cdot 12} : 2

二次equationの解:

x = 6, x = 2