I am Very confused

Question

8 Sean solve a quadratic equation by factoring.The problem he solved is given.Complete the four blanks show for one of his steps and the solution

X^2+6x-5=2

(x- __) (x+__)=0

X=__ X+____

9 Hannah solved a quadratic equation by completing the square.The problem she solved is given complete the five blanks shown for one of her steps and the solution

X^2+8x-3=-1

(X+__)^2=__

X=___ + ____ √___

Answer 1

x^2 +6x -5 = 2, subtract 2 from both sides

x^2 +6x -7 =0, factor

(x+7)(x-1) = 0 set each factor =0 and solve for x

x+7=0, x-1 = 0

x=-7, x= 1

x^2+8x-3 =-1 add 3 to both sides, then complete the square, take half of 8

=4, square 4 to get 16, add 16 to both sides

x^2+8x + 16 = -1+3 +16

(x+4)^2 = 18 take the square root of both sides

x+4 = + or - sqr18, subtract 4 from both sides

x = -4 + or -3sqr2