thanks for the reply , p\Rightarrowq is false only when the p is true and q is false. the problem I'm having is i can't find a way to say it from using f(k). it just a constant right ?. i can't use it to talk show that for all x f(x) is greater than 0. you mean that I should show the p (for all...
Homework Statement
a) Let f(x) = ax^2+ bx + c; ∀x ∈ ℝ; where a(≠ 0), b and c ∈ ℝ are constants,
(i) Prove that f(k) =(64+(b^2−4ac)^2)/(64a) ; where k = −(b/2a)+(1/a)+(b^2−4ac)/(8a).
(ii) Hence, without using graphs and without using your knowledge on quadratic
functions and equations, prove...
Homework Statement if a and b are irrational numbers, is a^b necessarily an irrational number ? prove it.
The Attempt at a Solution
this is an question i got from my first maths(real analysis) class (college) , and have to say, i have only little knowledge about rational number, i would like to...
thanks tim thank you very much. you are a genius. you probably helped to earn some marks for us in our next astronomy quiz.:!) hehe thank you very much.
what is "Jean's creation" ?
sorry if there's already a thread about this,need some help about this "jean's creation". i have no idea about this guys, i only know is it has something to do with interstellar mediums.when i Google search it i came up with:confused: .so I'm asking for a complete...