Task: Question Answering
Input (English): Problem: let p and q be the root of the quadratic equation x 2 - ( ∝ - 2 ) x - ∝ - 1 = 0 . what is the minimum possible value of p 2 + q 2 ? 
Options: a ) 0 , b ) 3 , c ) 4 , d ) 5 , e ) 6
Output (English): d