20x^2+12000x+72000=0

解

20 x^{2} + 12000 x + 72000 = 0

x = \frac{- 12000 + 138240000}{40}, x = \frac{- 12000 - 138240000}{40}

十進法表記

x = - 6.06123 \dots, x = - 593.93876 \dots

解答ステップ

20 x^{2} + 12000 x + 72000 = 0

解くとthe二次式

x_{1, 2} = \frac{- 12000 \pm 1200 0 ^{2} - 4 \cdot 20 \cdot 72000}{2 \cdot 20}

1200 0^{2} - 4 \cdot 20 \cdot 72000 = 138240000

x_{1, 2} = \frac{- 12000 \pm 138240000}{2 \cdot 20}

解を分離する

x_{1} = \frac{- 12000 + 138240000}{2 \cdot 20}, x_{2} = \frac{- 12000 - 138240000}{2 \cdot 20}

x = \frac{- 12000 + 138240000}{2 \cdot 20} : \frac{- 12000 + 138240000}{40}

x = \frac{- 12000 - 138240000}{2 \cdot 20} : \frac{- 12000 - 138240000}{40}

二次equationの解:

x = \frac{- 12000 + 138240000}{40}, x = \frac{- 12000 - 138240000}{40}