12x^2-116x+190=0

解

12 x^{2} - 116 x + 190 = 0

x = \frac{29 + 271}{6}, x = \frac{29 - 271}{6}

十進法表記

x = 7.57701 \dots, x = 2.08965 \dots

解答ステップ

12 x^{2} - 116 x + 190 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 116 ) \pm ( - 116 ) ^{2} - 4 \cdot 12 \cdot 190}{2 \cdot 12}

(- 116)^{2} - 4 \cdot 12 \cdot 190 = 4271

x_{1, 2} = \frac{- ( - 116 ) \pm 4 271}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 116 ) + 4 271}{2 \cdot 12}, x_{2} = \frac{- ( - 116 ) - 4 271}{2 \cdot 12}

x = \frac{- ( - 116 ) + 4 271}{2 \cdot 12} : \frac{29 + 271}{6}

x = \frac{- ( - 116 ) - 4 271}{2 \cdot 12} : \frac{29 - 271}{6}

二次equationの解:

x = \frac{29 + 271}{6}, x = \frac{29 - 271}{6}