Target Mathematics

1.41: Here is a quadratic equation where is a constant.

4PM1/2/January/2018 — Question 4 · 6 marks

Here is a quadratic equation
3x2+px+4=03x^2+px+4=0
where pp is a constant.
(a) Find the set of values of pp for which the equation has two real distinct roots. (5)
(b) List all the possible integer values of pp for which the equation has no real roots. (1)