18x^2-106x+110=0

解

18 x^{2} - 106 x + 110 = 0

x = \frac{53 + 829}{18}, x = \frac{53 - 829}{18}

十進法表記

x = 4.54402 \dots, x = 1.34486 \dots

解答ステップ

18 x^{2} - 106 x + 110 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 106 ) \pm ( - 106 ) ^{2} - 4 \cdot 18 \cdot 110}{2 \cdot 18}

(- 106)^{2} - 4 \cdot 18 \cdot 110 = 2829

x_{1, 2} = \frac{- ( - 106 ) \pm 2 829}{2 \cdot 18}

解を分離する

x_{1} = \frac{- ( - 106 ) + 2 829}{2 \cdot 18}, x_{2} = \frac{- ( - 106 ) - 2 829}{2 \cdot 18}

x = \frac{- ( - 106 ) + 2 829}{2 \cdot 18} : \frac{53 + 829}{18}

x = \frac{- ( - 106 ) - 2 829}{2 \cdot 18} : \frac{53 - 829}{18}

二次equationの解:

x = \frac{53 + 829}{18}, x = \frac{53 - 829}{18}