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Answer:
p = 4 and q = ± 12
Step-by-step explanation:
2 is a root of eqn
So ,
3x^2 -p(x +1) = 0
Putting 2 in x :
3 x 2^2 - p (2 + 1) = 0
12 - p(3) = 0
12 -3p = 0
-3 p = -12
p = 4 ___(1)
Now,
px^2 - qx + 9 = 0
4x^2 - qx + 9 = 0
When roots are equal discriminant is 0.
So,
D = b^2 - 4 ac
0 = q^2 - 4 x 4 x 9
q^2 - 144 = 0
q^2 = 144
q = 12 or q = -12
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