So you need to solve the inequality
(4k)^2-4(3k) >0
16k^2-12k>0
4k(4k-3) >0
Can you solve this inequality (so the answer will be in terms of interval)
Hi, we've been studying polynomials at college recently and we've covered a lot of topics on it, but I'm stuck on one question. I remember doing questions like it, but we've gone over so much in the meantime that I've forgotten how to work it out!
Find the set of values of k such that the equation has two distinct roots.
The discriminant (4k squared - 4(1)(3k)) has to be > 0 for it to have 2 distinct roots, but I forgot how to work it out!
Any tips? Thanks =D
Is it ?
Because don't you make each of the brackets equal 0 to find the intervals, so the brackets (4k)(4k - 3) would mean k would be > 0 and > 3/4
I think I'm totally off, but I tried k as 0.74 and it didn't give a positive number, but 0.76 does, so it seems right...