If the roots of the equation are of the form and then
Step 1: Use the concept of Sum and Product of roots of a Quadratic equation
We know that for a quadratic equation ,
The sum of the roots
The product of the roots
Since and are roots,
And
Step 2: Eliminate from the above pair of equations
Simplifying , we get
Simplifying , we get
Substituting the value of from , we get
Step 3: Simplify the above equation
'
Hence, the value of
Thus, the correct option is A.