Recent content by k3232x

If p and q are prime numbers such that p is not a quadratic residue mod q. Show that if pq=-1 mod 4 then the polynomial f(x)=x^2-q is irreducible in F_p[x].

Also, it's not like the students are stupid, their very smart people, it's just that the high school system is so screwed up. They are smart enough to understand it, its just they were never taught it.

Prof. Ralph. I was talking to him today, he said that the most asked asked question during the exam was what is the equation for area of a circle. I couldn't believe it. He said "The high school system is ****ed". Those where his EXACT words.

The class median was 38%. I got 75% which isn't that bad, but still could be better. It was my first university midterm, I didn't really know what to expect. In HS all what we did was compute questions, but most of the midterm was explaining concepts, theorems and ideas which was different then...

JasonRox are currently doing math at Brock? I'm just wondering because I also am going to Brock. I'm currentyl first year in the math department. Your exactly right when you say undergrad doesn't really matter. I was accepted into McMaster, UofT and Brock, but i choose Brock for several...

I took the derivative of the equation and got: y`= 4x^3 - 4x - 1 and put that into the equation of a tangent to the curve: y=(4x^3 - 4x - 1)x + c ; where c is the intercept. Then replaced y with the original equation: x^4 - 2x^2 - x = (4x^3 -4x - 1)x + c Then solved for the intercept: c=...

Hi, I am having problems with the following problem. The main issue is actually starting the problem. Find the two points on the curve y = x^4 - 2x^2 - x that have a common tangent line.