-180x^2+1140x-630=0

解

- 180 x^{2} + 1140 x - 630 = 0

x = \frac{19 - 235}{6}, x = \frac{19 + 235}{6}

十進法表記

x = 0.61171 \dots, x = 5.72161 \dots

解答ステップ

- 180 x^{2} + 1140 x - 630 = 0

解くとthe二次式

x_{1, 2} = \frac{- 1140 \pm 114 0 ^{2} - 4 ( - 180 ) ( - 630 )}{2 ( - 180 )}

114 0^{2} - 4 (- 180) (- 630) = 60235

x_{1, 2} = \frac{- 1140 \pm 60 235}{2 ( - 180 )}

解を分離する

x_{1} = \frac{- 1140 + 60 235}{2 ( - 180 )}, x_{2} = \frac{- 1140 - 60 235}{2 ( - 180 )}

x = \frac{- 1140 + 60 235}{2 ( - 180 )} : \frac{19 - 235}{6}

x = \frac{- 1140 - 60 235}{2 ( - 180 )} : \frac{19 + 235}{6}

二次equationの解:

x = \frac{19 - 235}{6}, x = \frac{19 + 235}{6}