?,? are the roots of the quadratic polynomial p(x)=x2-(k-6)x+(2k+1). find the value of k if ?+?= ??.

The given polynomial is x²-(k-6)x+(2k+1).

Sum of roots = ? + ? = k - 6

Product of roots = ?? = 2k + 1

 

It is given that ?+?= ??

So, we get,

k - 6 = 2k + 1

2k - k = -6 - 1

k = -7