Question

Hi guys, can someone please help with this assignment :

Answer 1

If there is no real solution the Discriminant (b^2 - 4ac) will have a value less than zero.  The a, b and c refer to the coefficients in the equation

ax^2 + bx + c = 0.

So for this equation  to have no real solution 4^2 - 4*p * 6 < 0

-24p + 16 < 0

-24p < -16

p > 16/24

p > 2/3

So the value of p must be greater than 2/3 for no real solutions,  (answer).