F.4 數學 - 二次方程 (高手請進)

2007-10-30 5:55 am
1. 利用「 (a - b) = -(b - a) 」 , 解 (7x - 4)(3 + 4x) = (2x - 1)(4 - 7x) 。

回答 (2)

2007-10-30 6:00 am
✔ 最佳答案
(7x - 4)(3 + 4x) = (2x - 1)(4 - 7x)
(7x - 4)(3 + 4x) = -(2x - 1)(7x - 4)
(7x - 4)(3 + 4x) + (2x - 1)(7x - 4) = 0
(3 + 4x + 2x - 1) (7x - 4) = 0
(6x + 2) (7x - 4) = 0
(3x + 1) (7x - 4) = 0
3x + 1 = 0 or 7x - 4 = 0
x = -1/3 or x = 4/7
2007-10-30 6:17 am
(7x - 4)(3 + 4x) = (2x - 1)(4 - 7x)

(7x - 4)(3 + 4x) = -(2x - 1)(7x - 4)

(7x - 4)(3 + 4x) + (2x - 1)(7x - 4) = 0

(3 + 4x + 2x - 1) (7x - 4) = 0

(6x + 2) (7x - 4) = 0

(3x + 1) (7x - 4) = 0

3x + 1 = 0 or 7x - 4 = 0

x = -1/3 or x = 4/7


收錄日期: 2021-04-13 14:15:09
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20071029000051KK04215

檢視 Wayback Machine 備份