Mathsfreak

x,y and z are complex numbers that satisfy the equations x+y+z=2, xy+yz+zx=3 and xyz=4. Given that 1/(1−x−yz)+1(1−y−zx)+1(1−z−xy)=ab, where a and b are coprime positive integers, what is the value of a+b?

It can be shown that for any positive integer n, the infinitely nested radical expression (n+(n+(n+....)^1/2)^1/2)^1/2 equals a finite number. What is the largest positive integer n≤999 such that this expression is equal to a positive integer? Details and...

15................apply vieta's rule . :))))))))

answer ?

Check ur answer

I tried using circular permutations......but the answer didn't tally.Also..............31 is a wrong answer

496...............:)

Well............u cheat quite well.Should I report this to the authorities? :p

In any order ,I guess, as it hasn't been particularly specified!The question is an exact copy from the springer book on 'Combinatorics'.

Mind ur language,geezer.What on this earth is Brilliant anyways.Please check out 'The 1001 combinatorics problems' by 'Springer' problem #79 before blaming me..........:p

17

Still a simple careless mistake : 1-9972=0.0028 nt 27.:)

Right answer please

the term is (x^2 + 2x -1)^8 :)