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(a) Let f(x) = x2 + px+c and g(x) = 2x² + 4x + C, where p, qeR and c>0. It is given that f(x) = 0and g(x)=0 have a common root a. Show that a=p-4.
Find c in terms of p and q, and deduce that
(i) if p>0, then p
(a) Let f(x) = x2 + px+c and g(x) = 2x² + 4x + C, where p, qeR and c>0. It is given that f(x) = 0and g(x)=0 have a common root a. Show that a=p-4.
Find c in terms of p and q, and deduce that
(i) if p>0, then p
