4.5x^2-8.64x-24.6528=0

解

4.5 x^{2} - 8.64 x - 24.6528 = 0

x = \frac{8.64 + 518.4}{9}, x = \frac{8.64 - 518.4}{9}

十進法表記

x = 3.48982 \dots, x = - 1.56982 \dots

解答ステップ

4.5 x^{2} - 8.64 x - 24.6528 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 8.64 ) \pm ( - 8.64 ) ^{2} - 4 \cdot 4.5 ( - 24.6528 )}{2 \cdot 4.5}

(- 8.64)^{2} - 4 \cdot 4.5 (- 24.6528) = 518.4

x_{1, 2} = \frac{- ( - 8.64 ) \pm 518.4}{2 \cdot 4.5}

解を分離する

x_{1} = \frac{- ( - 8.64 ) + 518.4}{2 \cdot 4.5}, x_{2} = \frac{- ( - 8.64 ) - 518.4}{2 \cdot 4.5}

x = \frac{- ( - 8.64 ) + 518.4}{2 \cdot 4.5} : \frac{8.64 + 518.4}{9}

x = \frac{- ( - 8.64 ) - 518.4}{2 \cdot 4.5} : \frac{8.64 - 518.4}{9}

二次equationの解:

x = \frac{8.64 + 518.4}{9}, x = \frac{8.64 - 518.4}{9}