quadraticformula 5x^2-7x-2=0

解

5 x^{2} - 7 x - 2 = 0

x = \frac{7 + 89}{10}, x = \frac{7 - 89}{10}

十進法表記

x = 1.64339 \dots, x = - 0.24339 \dots

解答ステップ

5 x^{2} - 7 x - 2 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 5 ( - 2 )}{2 \cdot 5}

(- 7)^{2} - 4 \cdot 5 (- 2) = 89

x_{1, 2} = \frac{- ( - 7 ) \pm 89}{2 \cdot 5}

解を分離する

x_{1} = \frac{- ( - 7 ) + 89}{2 \cdot 5}, x_{2} = \frac{- ( - 7 ) - 89}{2 \cdot 5}

x = \frac{- ( - 7 ) + 89}{2 \cdot 5} : \frac{7 + 89}{10}

x = \frac{- ( - 7 ) - 89}{2 \cdot 5} : \frac{7 - 89}{10}

二次equationの解:

x = \frac{7 + 89}{10}, x = \frac{7 - 89}{10}