①x²-3x+1=0
题目
①x²-3x+1=0
②(x-1)²=3
③x²-3x=0
④x²-2x=4
答案
①x²-3x+1=0
x²-3x+9/4=5/4
(x-3/2)²=5/4
x=3/2+√5/2 x=3/2-√5/2
②(x-1)²=3
x=1+√3 x=1-√3
③x²-3x=0
x(x-3)=0
∴x=0 x=3
④x²-2x=4
x²-2x+1=5
(x-1)²=5
x=1+√5 x=1-√5
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