Question

2x2+px+9/2=0 have equal roots

Answer 1

if a,a are roots of eqn then
sum of roots=-B/A
a+a=-B/A
2a=-p/2
p=- 4a. ....(1)
a×a=C/A
a^2=9/4
a=3/2 sub in 1 eqn
p=-4(3/2)
p=-6