Solve the following questions
1. if p and q are roots of the quadratic equation x^2-(alpha-2)x-alpha-1=0, then what is the minimum value of p^2+q^2?
2.If the difference of roots of the quadratic equation x^2+4px+p=0 is same as the difference of roots of quadratic equation x^2+4px+q=0,then find the relation between p and q if p!=q.
3.if x^2+5x+6+k=0,then the value of for which roots of the given equation differ by 1 is
4.if b=0,c <0 in ax^2+bx+c=0,then find the value of X.