[tex]a) x^{2} +8x+16=0\\(x+4)^{2} =0\\x+4=0\\x=-4[/tex]
[tex]b) x^{2} -6x+9=0\\(x-3)^{2} =0\\x-3=0\\x=3[/tex]
[tex]c) 4x^{2} -4x+1=0\\(2x-1)^{2} =0\\2x-1=0\\2x=1\\x=\frac{1}{2}[/tex]
[tex]d) 25x^{2} +10x+1=0\\(5x+1)^{2} =0\\5x+1=0\\5x=-1\\x=-\frac{1}{5}[/tex]
[tex]e) 4x^{2}+12x+9=0\\(2x+3)^{2} =0\\2x+3=0\\2x=-3\\x=-1,5[/tex]
[tex]f) 9x^{2} -3x+\frac{1}4} =0\\(3x-\frac{1}{2}) ^{2} =0\\3x-\frac{1}{2} =0\\3x=\frac{1}{2} \\x=\frac{1}{6}\\[/tex]