12x^2-464x+3003=0

解

12 x^{2} - 464 x + 3003 = 0

x = \frac{116 + 4447}{6}, x = \frac{116 - 4447}{6}

十進法表記

x = 30.44763 \dots, x = 8.21902 \dots

解答ステップ

12 x^{2} - 464 x + 3003 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 464 ) \pm ( - 464 ) ^{2} - 4 \cdot 12 \cdot 3003}{2 \cdot 12}

(- 464)^{2} - 4 \cdot 12 \cdot 3003 = 44447

x_{1, 2} = \frac{- ( - 464 ) \pm 4 4447}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 464 ) + 4 4447}{2 \cdot 12}, x_{2} = \frac{- ( - 464 ) - 4 4447}{2 \cdot 12}

x = \frac{- ( - 464 ) + 4 4447}{2 \cdot 12} : \frac{116 + 4447}{6}

x = \frac{- ( - 464 ) - 4 4447}{2 \cdot 12} : \frac{116 - 4447}{6}

二次equationの解:

x = \frac{116 + 4447}{6}, x = \frac{116 - 4447}{6}