Question

①x²-3x+1=0②（x-1）²=3③x²-3x=0④x²-2x=4

Answer 1

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