If one root of the quadratic equation x² + ax+3 = 0 is 1 then its other root will be ………

Correct option is A

Given:

The quadratic equation is $$x^2$$​ + ax + 3 = 0 , and one root is 1 . We need to find the other root.

Formula Used:

1. For a quadratic equation x^2 + px + q = 0 , the sum of the roots is given by:

$$\text{Sum of roots}$$​ = -p

2. The product of the roots is given by:

$$\text{Product of roots} = q$$​​

Solution:

1. Sum of roots:
Let the roots of the equation be $$r_1$$​ and $$r_2$$​ .
Given $$r_1$$​ = 1 , the sum of the roots is:
​$$r_1 + r_2 = -a$$​​

Substituting r_1 = 1 :

$$1 + r_2 = -a \implies r_2 = -a - 1$$​​

2. Product of roots:
The product of the roots is:

$$r_1 \cdot r_2 = 3$$​​

Substituting $$r_1$$​ = 1 :

$$1 \cdot r_2 = 3 \implies r_2 = 3$$​​

Final Answer:

Option A: 3