Question

If $x^2+3x+5=0$ and $a{x}^2+bx+c=0$ have common roots and $a,b,c\in N$, then find the minimum value of $a+b+c$.

• A. $9$
• B. $12$
• C. $15$
• D. $18$

Answer 1

The correct option is A $9$

Considering both the equations, have common 'roots',
then both the equations will become identical.
Hence $a=1,b=3,c=5$.
Thus
Least value of $a+b+c$
$=9$