The equation x2 + kx + 3 = 0, where k is a constant, has no real roots.
Find the set of possible values of k, giving your answer in surd form.
So the part of the quadratic formulat √b2-4ac has to be negative or = to 0 to have no real roots
a = 1
b = k
c = 3
so √k2-12 has to be negative
so k has to be <= 3 (if k is an integer which I presume it is) for this to work.
So what does it mean by giving the answer in surd form. Do I just write k<[FONT=Lucida Grande, tahoma, verdana, arial, sans-serif]√12 as my answer?[/FONT]
Find the set of possible values of k, giving your answer in surd form.
So the part of the quadratic formulat √b2-4ac has to be negative or = to 0 to have no real roots
a = 1
b = k
c = 3
so √k2-12 has to be negative
so k has to be <= 3 (if k is an integer which I presume it is) for this to work.
So what does it mean by giving the answer in surd form. Do I just write k<[FONT=Lucida Grande, tahoma, verdana, arial, sans-serif]√12 as my answer?[/FONT]