321.0069x^2-5130.1778x+14682.6031=0

解

321.0069 x^{2} - 5130.1778 x + 14682.6031 = 0

x = \frac{5130.1778 + 7465856.63936 \dots}{642.0138}, x = \frac{5130.1778 - 7465856.63936 \dots}{642.0138}

十進法表記

x = 12.24669 \dots, x = 3.73481 \dots

解答ステップ

321.0069 x^{2} - 5130.1778 x + 14682.6031 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 5130.1778 ) \pm ( - 5130.1778 ) ^{2} - 4 \cdot 321.0069 \cdot 14682.6031}{2 \cdot 321.0069}

(- 5130.1778)^{2} - 4 \cdot 321.0069 \cdot 14682.6031 = 7465856.63936 \dots

x_{1, 2} = \frac{- ( - 5130.1778 ) \pm 7465856.63936 \dots}{2 \cdot 321.0069}

解を分離する

x_{1} = \frac{- ( - 5130.1778 ) + 7465856.63936 \dots}{2 \cdot 321.0069}, x_{2} = \frac{- ( - 5130.1778 ) - 7465856.63936 \dots}{2 \cdot 321.0069}

x = \frac{- ( - 5130.1778 ) + 7465856.63936 \dots}{2 \cdot 321.0069} : \frac{5130.1778 + 7465856.63936 \dots}{642.0138}

x = \frac{- ( - 5130.1778 ) - 7465856.63936 \dots}{2 \cdot 321.0069} : \frac{5130.1778 - 7465856.63936 \dots}{642.0138}

二次equationの解:

x = \frac{5130.1778 + 7465856.63936 \dots}{642.0138}, x = \frac{5130.1778 - 7465856.63936 \dots}{642.0138}