(x-1)²=(5-2x)² 因式分解法怎么做

问题描述:

(x-1)²=(5-2x)² 因式分解法怎么做

(x-1)²=(5-2x)²
(x-1)² - (5-2x)² = 0
(x-1+5-2x) (x-1-5+2x) = 0
(-x+4)(3x-6) = 0
x= 4,或x=2

(x-1)²=(5-2x)²
x-1=±(5-2x)
x-1=5-2x 或x-1=2x-5
3x=6 或 x=4
x1=2 x2=4

(x-1)²=(5-2x)²
(x-1)²-(5-2x)²=0
[﹙X-1﹚+﹙5-2X﹚][﹙X-1﹚-﹙5-2X﹚]=0
﹙4-X﹚﹙3X-6﹚=0
X=4,X=2