用因式分解法解方程:3(x-2)=5x(2-x) (5x-1)²=2
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3(x-2)=5x(2-x)
3(x-2)+5x(x-2)=0
(x-2)(5x+3)=0
x-2=0 x=2
5x+3=0 x=-3/5
(5x-1)²=2
(5x-1)-(√2)²=0
(5x-1+√2)(5x-1-√2)=0
x=(1-√2)/5
x=(1+√2)/5
3(x-2)+5x(x-2)=0
(x-2)(5x+3)=0
x-2=0 x=2
5x+3=0 x=-3/5
(5x-1)²=2
(5x-1)-(√2)²=0
(5x-1+√2)(5x-1-√2)=0
x=(1-√2)/5
x=(1+√2)/5
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