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Let f(x)=ax^(2)+bx+c, g(x)=ax^(2)+px+q, ...

Let `f(x)=ax^(2)+bx+c`, `g(x)=ax^(2)+px+q`, where `a`, `b`, `c`, `q`, `p in R` and `b ne p`. If their discriminants are equal and `f(x)=g(x)` has a root `alpha`, then

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Consider two quadratic expressions f(x)=ax^(2)+bx+c and g(x)=ax^(2)+px+c,(a,b,c,p,q in R,b!=p) such that their discriminants are equal.If f(x)=g(x) has a root x=alpha , then

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