a) (x-1)²=1
x-1=₋⁺1
x-1=1, x-1=-1
x₁=0, x₂=2
b) x²-1=1
x²=1+1
x²=2
x₁=-√2, x₂=√2
c) x²+6x+9=16
(x+3)²=16
x+3=₋⁺4
x+3=4, x+3=-4
x₁=-7, x₂=1
d) (x+2)²-4=0
(x+2)²=4
x+2=₋⁺2
x+2=2, x+2=-2
x₁=-4, x₂=0
e) 2x+3/3=9/2x-3, x≠3/2
(2x+3)×(2x-3)=27
(2x+3)×(2x-3)-27=0
4x²-9-27=0
4x²-36=0
4(x²-9)=0
4(x-3)×(x+3)=0
(x-3)×(x+3)=0
x-3=0, x+3=0
x=3, x=-3, x≠3/2
x₁=-3, x₂=3.
