For a,b,c ϵ real then
(b-x)^2-4(a-x)(c-x)=0 will have always which are :
1)real & equal
2)real & distinct
3)imaginary
4)both 1 and 2
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If a+b+c=0(a,b, c are real), then prove that equation (b-x)^2-4(a-x)(c-x)=0 has real roots and the roots will not be equal unless a=b=c
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