#### hyparzero

##### BOS Male Prostitute

^{2}+ax+b , where a and b are real.

i) Resolve P(P(x))-x into two quadratic factors

ii) Find a relationship between a and b which ensures all roots of P(P(x)) - x are real.

iii) Hence or otherwise, solve the equation (x

^{2}-3x+1)

^{2}-3(x

^{2}-3x+1)+1-x = 0