Express 4x2−8x+54x^2 - 8x + 54x2−8x+5 in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c
State the number of real roots of the equation 4x2−8x+54x^2 - 8x + 54x2−8x+5
Explain fully how the value of r r\,r is related to the number of real roots of the equation p(x+q)2+r=0p(x + q)^2 + r = 0p(x+q)2+r=0 where ppp, q q\,q and r r\,r are real constants and p>0p > 0p>0
