And I remembered there's maths geniuses on ST.
The quadratic equation x^2 + 4kx + 3k = 0 has two distinctive roots. Find the set of possible values of the constant k.
The equation x^2 4kx + 3k = 0, where k is a constant, has distinct real roots.
a. Prove that k(4k - 3) > 0.
b. Hence find the set of possible values of k.
It is given instead that the x-axis is a tangent to the graph of y = x^2 _ 4kx + 3k.
c. Write down the possible values of k.
(I figured this all has something to do with that b^2 - 4ac thing. =___='
p.s. Can anyone explain how the algebra for even and odd functions of graphs work?
I mean- the even graphs are:
f(x) = -f(x)
and odd graphs are:
f(x) = -f(-x)