x^2-5.0589x-2.585=0

解

x^{2} - 5.0589 x - 2.585 = 0

x = \frac{5.0589 + 35.93246 \dots}{2}, x = \frac{5.0589 - 35.93246 \dots}{2}

十進法表記

x = 5.52663 \dots, x = - 0.46773 \dots

解答ステップ

x^{2} - 5.0589 x - 2.585 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 5.0589 ) \pm ( - 5.0589 ) ^{2} - 4 \cdot 1 \cdot ( - 2.585 )}{2 \cdot 1}

(- 5.0589)^{2} - 4 \cdot 1 \cdot (- 2.585) = 35.93246 \dots

x_{1, 2} = \frac{- ( - 5.0589 ) \pm 35.93246 \dots}{2 \cdot 1}

解を分離する

x_{1} = \frac{- ( - 5.0589 ) + 35.93246 \dots}{2 \cdot 1}, x_{2} = \frac{- ( - 5.0589 ) - 35.93246 \dots}{2 \cdot 1}

x = \frac{- ( - 5.0589 ) + 35.93246 \dots}{2 \cdot 1} : \frac{5.0589 + 35.93246 \dots}{2}

x = \frac{- ( - 5.0589 ) - 35.93246 \dots}{2 \cdot 1} : \frac{5.0589 - 35.93246 \dots}{2}

二次equationの解:

x = \frac{5.0589 + 35.93246 \dots}{2}, x = \frac{5.0589 - 35.93246 \dots}{2}