12x^2-360x+2000=0

解

12 x^{2} - 360 x + 2000 = 0

x = \frac{5 ( 9 + 21 )}{3}, x = \frac{5 ( 9 - 21 )}{3}

十進法表記

x = 22.63762 \dots, x = 7.36237 \dots

解答ステップ

12 x^{2} - 360 x + 2000 = 0

解くとthe二次式

x_{1, 2} = \frac{- ( - 360 ) \pm ( - 360 ) ^{2} - 4 \cdot 12 \cdot 2000}{2 \cdot 12}

(- 360)^{2} - 4 \cdot 12 \cdot 2000 = 4021

x_{1, 2} = \frac{- ( - 360 ) \pm 40 21}{2 \cdot 12}

解を分離する

x_{1} = \frac{- ( - 360 ) + 40 21}{2 \cdot 12}, x_{2} = \frac{- ( - 360 ) - 40 21}{2 \cdot 12}

x = \frac{- ( - 360 ) + 40 21}{2 \cdot 12} : \frac{5 ( 9 + 21 )}{3}

x = \frac{- ( - 360 ) - 40 21}{2 \cdot 12} : \frac{5 ( 9 - 21 )}{3}

二次equationの解:

x = \frac{5 ( 9 + 21 )}{3}, x = \frac{5 ( 9 - 21 )}{3}