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(x-5)(x-5)=0
(x-5)²=0
√(x-5)²=√0
x-5=0
x=5 solucion unica
.............................
4x²-20x+25=0
(2x-5)(2x-5)=0
(2x-5)²=0
√(2x-5)²=√0
2x-5=0
2x=5
x=5 solucion unica
2
.............................................
x²-14x+49=0
(x-7)(x-7)=0
(x-7)²=0
√(x-7)²=√0
x-7=0
x=7 solucion unica
.................................
4x²+9-12x=0
4x²-12x+9=0
(2x-3)(2x-3)=0
(2x-3)²=0
√(2x-3)²=√0
2x-3=0
2x=3
x=3 solucion unica
2
x²-10x+25=0
(x-5)(x-5)=0
(x-5)²=0
√(x-5)²=√0
x-5=0
x=5
b)
4x²-20x+25=0
(2x-5)(2x-5)=0
(2x-5)²=0
√(2x-5)²=√0
2x-5=0
2x=5
x=5/2
c)
x²-14x+49=0
(x-7)(x-7)=0
(x-7)²=0
√(x-7)²=√0
x-7=0
x=7
d)
4x²+9-12x=0
4x²-12x+9=0
(2x-3)(2x-3)=0
(2x-3)²=0
√(2x-3)²=√0
2x-3=0
2x=3
x=3/2