300x^2-60x-144=0

解

300 x^{2} - 60 x - 144 = 0

x = \frac{4}{5}, x = - \frac{3}{5}

十進法表記

x = 0.8, x = - 0.6

解答ステップ

300 x^{2} - 60 x - 144 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 300 ( - 144 )}{2 \cdot 300}

(- 60)^{2} - 4 \cdot 300 (- 144) = 420

x_{1, 2} = \frac{- ( - 60 ) \pm 420}{2 \cdot 300}

解を分離する

x_{1} = \frac{- ( - 60 ) + 420}{2 \cdot 300}, x_{2} = \frac{- ( - 60 ) - 420}{2 \cdot 300}

x = \frac{- ( - 60 ) + 420}{2 \cdot 300} : \frac{4}{5}

x = \frac{- ( - 60 ) - 420}{2 \cdot 300} : - \frac{3}{5}

二次equationの解:

x = \frac{4}{5}, x = - \frac{3}{5}