5.7614a^2+2593a-516461.55=0

解

5.7614 a^{2} + 2593 a - 516461.55 = 0

a = \frac{- 2593 + 18625815.29668}{11.5228}, a = \frac{- 2593 - 18625815.29668}{11.5228}

十進法表記

a = 149.50911 \dots, a = - 599.57333 \dots

解答ステップ

5.7614 a^{2} + 2593 a - 516461.55 = 0

解くとthe二次式

a_{1, 2} = \frac{- 2593 \pm 259 3 ^{2} - 4 \cdot 5.7614 ( - 516461.55 )}{2 \cdot 5.7614}

259 3^{2} - 4 \cdot 5.7614 (- 516461.55) = 18625815.29668

a_{1, 2} = \frac{- 2593 \pm 18625815.29668}{2 \cdot 5.7614}

解を分離する

a_{1} = \frac{- 2593 + 18625815.29668}{2 \cdot 5.7614}, a_{2} = \frac{- 2593 - 18625815.29668}{2 \cdot 5.7614}

a = \frac{- 2593 + 18625815.29668}{2 \cdot 5.7614} : \frac{- 2593 + 18625815.29668}{11.5228}

a = \frac{- 2593 - 18625815.29668}{2 \cdot 5.7614} : \frac{- 2593 - 18625815.29668}{11.5228}

二次equationの解:

a = \frac{- 2593 + 18625815.29668}{11.5228}, a = \frac{- 2593 - 18625815.29668}{11.5228}