1) x²+16x+64=0
(x+8)²=0
x+8=0
x=-8
2) 36x²-12x+1=0
(6x-1)²=0
6x-1=0
6x=1
x=1/6
3) 4x²+9=-12x
4x²+9-12x=0
4x²-12x+9=0
(2x-3)²=0
2x=3
x=3/2
4) x²=0.4x-0.04
25x²=10x-1
(5x-1)²=0
5x-1=0
5x=1
x=1/5
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Answers & Comments
1) x²+16x+64=0
(x+8)²=0
x+8=0
x=-8
2) 36x²-12x+1=0
(6x-1)²=0
6x-1=0
6x=1
x=1/6
3) 4x²+9=-12x
4x²+9-12x=0
4x²-12x+9=0
(2x-3)²=0
2x=3
x=3/2
4) x²=0.4x-0.04
25x²=10x-1
(5x-1)²=0
5x-1=0
5x=1
x=1/5