-15x^2+780x-1048=0

解

- 15 x^{2} + 780 x - 1048 = 0

x = \frac{2 ( 195 - 34095 )}{15}, x = \frac{2 ( 195 + 34095 )}{15}

十進法表記

x = 1.38022 \dots, x = 50.61977 \dots

解答ステップ

- 15 x^{2} + 780 x - 1048 = 0

解くとthe二次式

x_{1, 2} = \frac{- 780 \pm 78 0 ^{2} - 4 ( - 15 ) ( - 1048 )}{2 ( - 15 )}

78 0^{2} - 4 (- 15) (- 1048) = 434095

x_{1, 2} = \frac{- 780 \pm 4 34095}{2 ( - 15 )}

解を分離する

x_{1} = \frac{- 780 + 4 34095}{2 ( - 15 )}, x_{2} = \frac{- 780 - 4 34095}{2 ( - 15 )}

x = \frac{- 780 + 4 34095}{2 ( - 15 )} : \frac{2 ( 195 - 34095 )}{15}

x = \frac{- 780 - 4 34095}{2 ( - 15 )} : \frac{2 ( 195 + 34095 )}{15}

二次equationの解:

x = \frac{2 ( 195 - 34095 )}{15}, x = \frac{2 ( 195 + 34095 )}{15}