Question

Usando o método de completar quadrados resolva:
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Answer 1

x²+6x-7=0

x²+6x+9-9-7=0

(x+3)²-16=0

(x+3)²=16

x+3=±√16

x+3=±4

x+3=4

x=4-3

x=1

x+3=-4

x=-4-3

x=-7

b) x²+3x-10=0

x²+3x +9/4 - 9/4 -10=0

4x²+12x+9-9-40=0

(2x+3)²-49=0

(2x+3)²=49

(2x+3)=±√49

2x+3=±7

2x+3=7

2x=7-3

2x=4

x=4/2

x=2

2x+3=-7

2x=-3-7

2x=-10

x=-10/2

x=-5

c) x²+2x+1=0

(x+1)²=0

x+1=√0

x+1=0

x=-1