-160x^2+450x-300=0

解

- 160 x^{2} + 450 x - 300 = 0

x = \frac{45 - 105}{32}, x = \frac{45 + 105}{32}

十進法表記

x = 1.08603 \dots, x = 1.72646 \dots

解答ステップ

- 160 x^{2} + 450 x - 300 = 0

解くとthe二次式

x_{1, 2} = \frac{- 450 \pm 45 0 ^{2} - 4 ( - 160 ) ( - 300 )}{2 ( - 160 )}

45 0^{2} - 4 (- 160) (- 300) = 10105

x_{1, 2} = \frac{- 450 \pm 10 105}{2 ( - 160 )}

解を分離する

x_{1} = \frac{- 450 + 10 105}{2 ( - 160 )}, x_{2} = \frac{- 450 - 10 105}{2 ( - 160 )}

x = \frac{- 450 + 10 105}{2 ( - 160 )} : \frac{45 - 105}{32}

x = \frac{- 450 - 10 105}{2 ( - 160 )} : \frac{45 + 105}{32}

二次equationの解:

x = \frac{45 - 105}{32}, x = \frac{45 + 105}{32}