If  x2+3x+5=0  and ax2+bx+c=0  have a common root and a, b, c∈N  then minimum value of a+b+c  is equal to

x2+3x+5=0  has imaginary roots which are complex conjugate. ∴   x2+3x+5=0,  ax2+bx+c  have both roots in common.∴        a1=b3=c5=λ ⇒    a+b+c=9λ,          a, b, c∈N⇒λ∈N ⇒    min.(a+b+c)=9