If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,...

If `f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c` ,where ac`!=0,` then prove that `f(x)g(x)=0` has at least two real roots.

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P(x) Q(x) = 0

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