48.11805x^2-245.25x+49.05=0

解

48.11805 x^{2} - 245.25 x + 49.05 = 0

x = \frac{245.25 + 50706.80109}{96.2361}, x = \frac{245.25 - 50706.80109}{96.2361}

十進法表記

x = 4.88830 \dots, x = 0.20853 \dots

解答ステップ

48.11805 x^{2} - 245.25 x + 49.05 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 245.25 ) \pm ( - 245.25 ) ^{2} - 4 \cdot 48.11805 \cdot 49.05}{2 \cdot 48.11805}

(- 245.25)^{2} - 4 \cdot 48.11805 \cdot 49.05 = 50706.80109

x_{1, 2} = \frac{- ( - 245.25 ) \pm 50706.80109}{2 \cdot 48.11805}

解を分離する

x_{1} = \frac{- ( - 245.25 ) + 50706.80109}{2 \cdot 48.11805}, x_{2} = \frac{- ( - 245.25 ) - 50706.80109}{2 \cdot 48.11805}

x = \frac{- ( - 245.25 ) + 50706.80109}{2 \cdot 48.11805} : \frac{245.25 + 50706.80109}{96.2361}

x = \frac{- ( - 245.25 ) - 50706.80109}{2 \cdot 48.11805} : \frac{245.25 - 50706.80109}{96.2361}

二次equationの解:

x = \frac{245.25 + 50706.80109}{96.2361}, x = \frac{245.25 - 50706.80109}{96.2361}