300x^2+6000x-50000=0

解

300 x^{2} + 6000 x - 50000 = 0

x = \frac{10 ( 2 6 - 3 )}{3}, x = - \frac{10 ( 3 + 2 6 )}{3}

十進法表記

x = 6.32993 \dots, x = - 26.32993 \dots

解答ステップ

300 x^{2} + 6000 x - 50000 = 0

解くとthe二次式

x_{1, 2} = \frac{- 6000 \pm 600 0 ^{2} - 4 \cdot 300 ( - 50000 )}{2 \cdot 300}

600 0^{2} - 4 \cdot 300 (- 50000) = 40006

x_{1, 2} = \frac{- 6000 \pm 4000 6}{2 \cdot 300}

解を分離する

x_{1} = \frac{- 6000 + 4000 6}{2 \cdot 300}, x_{2} = \frac{- 6000 - 4000 6}{2 \cdot 300}

x = \frac{- 6000 + 4000 6}{2 \cdot 300} : \frac{10 ( 2 6 - 3 )}{3}

x = \frac{- 6000 - 4000 6}{2 \cdot 300} : - \frac{10 ( 3 + 2 6 )}{3}

二次equationの解:

x = \frac{10 ( 2 6 - 3 )}{3}, x = - \frac{10 ( 3 + 2 6 )}{3}