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Dear Sijin,
According to given condition,
D<0;
b^2 - 24a <0
b^2 < 24a
as it does not have real roots thus
its discriminant is equal to zero
i.e. b^2 - 4*a*6= b^2 - 24a=0
a = b^2 / 24
now take y=3a+b
put value of a and differentiate it and you will get
dy/da=b/4 +1=0
b= -4
is the minimum value.............
Yes..after that?
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