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

Roots of the equation x2+3x +5 =0 are non-real. Thus, given equations will have two common roots. ⇒ a1=b3=c5=λ∴ a+b+c=9λThus, minimum value of a + b + c =9      [∵a,b,c∈N]