If the equations x 2 + 2 x + 3 = 0 and a x 2 + b x + c = 0 , a , b , c ∈ R , have a common root, then a : b : c is:

Step-by-step solution

As the roots of x 2 + 2 x + 3 = 0 are imaginary, hence both the roots are common with a x 2 + b x + c = 0 . ∴ a 1 = b 2 = c 3 .