Statement1- if p(x)=x2+px+p1 and q(x)=x2+qx+q1 where p,p1,q,q1 are real and the equation p(x).q(x)=0 has atmost one real root then (1+p+p1) (1+q+q1)>0
Statement2- if a quadratic ax2+bx+c has no real root then a(ax2+bx+c)>0 for all x belonging to the set of real numbers..
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