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∴ 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...