用因式分解法解方程:3(x-2)=5x(2-x) (5x-1)²=2

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

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

用因式分解法解方程:3(x-2)=5x(2-x) (5x-1)²=2
3(x-2)=5x(2-x)
3(x-2)+5x(x-2) =0
(x-2)﹙3+5x﹚=0
∴ x-2=0或3+5x=0
X1=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=0
X1=﹙1-√2﹚/5,X2=﹙1+√2﹚/5

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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