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if the roots of quadratic equation a[b-c]x^2+b[c-a]x+c[a-b]=0 are equal and a,b,c>0 then prove that a,b,c are in hp

Answer» if the roots of quadratic equation a[b-c]x^2+b[c-a]x+c[a-b]=0 are equal and a,b,c>0 then prove that a,b,c are in hp


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