-4x^2+1040x-65100=0

解

- 4 x^{2} + 1040 x - 65100 = 0

x = 105, x = 155

解答ステップ

- 4 x^{2} + 1040 x - 65100 = 0

解くとthe二次式

x_{1, 2} = \frac{- 1040 \pm 104 0 ^{2} - 4 ( - 4 ) ( - 65100 )}{2 ( - 4 )}

104 0^{2} - 4 (- 4) (- 65100) = 200

x_{1, 2} = \frac{- 1040 \pm 200}{2 ( - 4 )}

解を分離する

x_{1} = \frac{- 1040 + 200}{2 ( - 4 )}, x_{2} = \frac{- 1040 - 200}{2 ( - 4 )}

x = \frac{- 1040 + 200}{2 ( - 4 )} : 105

x = \frac{- 1040 - 200}{2 ( - 4 )} : 155

二次equationの解:

x = 105, x = 155