for what value of c are the factor of { x2 -cx + 81/16 } the same ...
Here is answer for your question:
For equal roots
b2 - 4ac =0
Here b = - c and a = 1 , c = 81/16
Therefore,
b2 – 4ac =0
(-c)2 - 4(1)(81/16) = 0
c2 = 81/16
c = 9/4
Therefore factors are same for c = 9/4