12x^2-224x+703=0

解

12 x^{2} - 224 x + 703 = 0

x = \frac{56 + 1027}{6}, x = \frac{56 - 1027}{6}

十進法表記

x = 14.67447 \dots, x = 3.99219 \dots

解答ステップ

12 x^{2} - 224 x + 703 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 224 ) \pm ( - 224 ) ^{2} - 4 \cdot 12 \cdot 703}{2 \cdot 12}

(- 224)^{2} - 4 \cdot 12 \cdot 703 = 41027

x_{1, 2} = \frac{- ( - 224 ) \pm 4 1027}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 224 ) + 4 1027}{2 \cdot 12}, x_{2} = \frac{- ( - 224 ) - 4 1027}{2 \cdot 12}

x = \frac{- ( - 224 ) + 4 1027}{2 \cdot 12} : \frac{56 + 1027}{6}

x = \frac{- ( - 224 ) - 4 1027}{2 \cdot 12} : \frac{56 - 1027}{6}

二次equationの解:

x = \frac{56 + 1027}{6}, x = \frac{56 - 1027}{6}