用因式分解法解方程：3(x-2)=5x(2-x) （5x-1）²=2
问题描述：
用因式分解法解方程：3(x-2)=5x(2-x) （5x-1）²=2
答
3(x-2)=5x(2-x)
3(x-2)+5x(x-2)=0
(x-2)(3+5x)=0
x1=2 x2=-3/5
（5x-1）²=2
5x-1=±√2
5x=±√2+1
x1=(√2+1)/5 x2=(1-√2)/5
答
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答
3(x-2)=5x(2-x) 3(x-2)+5x(x-2) =0(x-2)﹙3+5x﹚=0∴ x-2=0或3+5x=0X1=2 ,X2=-3／5（5x-1）²=2（5x-1）²－﹙√2﹚²=0（5x-1+√2﹚（5x-1-√2﹚=0∴5x-1+√2=0或5x-1-√2=0X1=﹙1-√2﹚／5,X2=﹙1+√2...