What is the largest solution for the quadratic equation (x+3)^2-4=0?

I'm not sure what you mean by the largest solution, but I'll try my best:

First I used foil on the (x+3)(x+3) that gave me:

x^2 +3x +3x +9 -4 =0

I combined like terms and got:

x^2 +6x +5 = 0

Then I used the sum-product method to get what x would equal:

I got (x+3) and (x+2) but the answers were x= -3 and x= -2

so I guess out of the two solutions -2 would be the largest because it's greater than -3

The discounted price is going to be 60% of the original price because 100 - 40 = 60. So we want to find 60% of the original price, or 65. 65 x .6 = 39, so the pair of rollerskates will be $39 at the discounted price.