UPSEE Solved Model Paper 4

Given equation
x2 + bx + 12 = 0
one root is 2
so, put x = 2
4 + 2b + 12 = 0
2b = - 16
b = - 8
Now roots of equation
x2 + 2x + q = 0 are equal
so, D = 0
b2 - 4q = 0
(−8)2 - 4q = 0
4q = 64 ⇒ q = 16