Assuming p>0, what is the positive root of x^2 - 2px - 8p^2 = 0, in terms of p?

Answer 1

x = [2p+/-sqrt(4p^2+32p^2) ]2

= [2 p + sqrt(36 p^2) ]/2

= [2 p + 6 p ]/2

= 4 p