Question

if a+b+c=0, prove that the roots of ax^2+bx+c=0 are rational. Hence, show that the roots of (p+q)x^2-2px+(p-q)=0 are rational

Answer 1

If a,b,c are odd, how can we prove that ax2+bx+c=0 has no rational roots? I was unable to proceed beyond this: Roots are x=−b±b2−4ac2a and rational ...

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