Question 1184310

The discriminant should be equal to 0:  


{{{b^2 - 4ac = (8p)^2 - 4*(1-2p)*(-(2+8p)) = 64p^2+8*(1-2p)(1+4p) = 0}}}


===> {{{8p^2 + (1-2p)(1+4p) = 0}}}, or {{{8p^2 +1 +2p - 8p^2=0}}}


===> {{{highlight(p = -1/2)}}}