I'm panicking.

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.

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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. =___='

Help?

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)

thing.

PLEASE.

HELP.

ME.

I'm begging.

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