quadraticformula 8x^2-10x-3=0

解

8 x^{2} - 10 x - 3 = 0

x = \frac{3}{2}, x = - \frac{1}{4}

十進法表記

x = 1.5, x = - 0.25

解答ステップ

8 x^{2} - 10 x - 3 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 8 ( - 3 )}{2 \cdot 8}

(- 10)^{2} - 4 \cdot 8 (- 3) = 14

x_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 \cdot 8}

解を分離する

x_{1} = \frac{- ( - 10 ) + 14}{2 \cdot 8}, x_{2} = \frac{- ( - 10 ) - 14}{2 \cdot 8}

x = \frac{- ( - 10 ) + 14}{2 \cdot 8} : \frac{3}{2}

x = \frac{- ( - 10 ) - 14}{2 \cdot 8} : - \frac{1}{4}

二次equationの解:

x = \frac{3}{2}, x = - \frac{1}{4}