-5x^2+210x+1=2161

解

- 5 x^{2} + 210 x + 1 = 2161

x = 18, x = 24

解答ステップ

- 5 x^{2} + 210 x + 1 = 2161

2161

を左側に移動します

- 5 x^{2} + 210 x - 2160 = 0

解くとthe二次式

x_{1, 2} = \frac{- 210 \pm 21 0 ^{2} - 4 ( - 5 ) ( - 2160 )}{2 ( - 5 )}

21 0^{2} - 4 (- 5) (- 2160) = 30

x_{1, 2} = \frac{- 210 \pm 30}{2 ( - 5 )}

解を分離する

x_{1} = \frac{- 210 + 30}{2 ( - 5 )}, x_{2} = \frac{- 210 - 30}{2 ( - 5 )}

x = \frac{- 210 + 30}{2 ( - 5 )} : 18

x = \frac{- 210 - 30}{2 ( - 5 )} : 24

二次equationの解:

x = 18, x = 24