用一元二次方程的因式分解法解:(x-4)^2=(5-2x)^2

2024-12-17 12:39:01
推荐回答(2个)
回答1:

(x-4)^2=(5-2x)^2
x²-8x+16=4x²-20x+25
x²-8x+16-4x²+20x-25=0
-3x²+12x-9=0
x²-4x+3=0
(x-1)(x-3)=0
x=1或x=3

回答2:

(x-4)^2=(5-2x)^2
整理x^2-8x+16=25-20x+4x^2
得3x^2-12x+9=0
即x^2-4x+3=0
分解因式(x-3)(x-1)=0
解得x=3或x=1