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x^2+x+1/4=0
(x+1/2)^2=0
x+1/2=0
x=-1/2
b)
x^2-1/3x+1/36=0
(x-1/6)^2=0
x-1/6=0
x=1/6
c)
9x^2-12x+4=0
(3x-2)^2=0
3x-2=0
3x=2
x=2/3
d)
9/4x^2+3x+1=0
(3/2x+1)^2=0
3/2x+1=0
3/2x=-1
x=-2/3