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#2 Puzzles and Games » complex number » 2012-11-30 07:42:56

tony123
Replies: 1

Given that  is a complex number such that


find

#4 Exercises » Find a solution » 2011-11-15 07:39:27

tony123
Replies: 2

Find a solution to the system of simultaneous equations

#9 Help Me ! » positive real numbers » 2011-06-06 03:41:35

tony123
Replies: 2

if x,y,w,z positive real numbers

  show that

#10 Help Me ! » integer coeffcientsn » 2011-06-03 09:14:52

tony123
Replies: 1

Let

and
be distinct real numbers


with

and

.
Prove that



is  a zero of a quadratic with integer coeffcients.

#12 Re: Exercises » How many » 2010-11-08 21:16:55

Hi bobbym

Try again

|-5|+|-4|+|0|=9

#13 Exercises » How many » 2010-11-08 09:44:45

tony123
Replies: 3

How many integral solutions does the equation


#14 Exercises » find the valuo » 2010-02-12 10:24:03

tony123
Replies: 0

if


find the valuo of


#15 Exercises » Find all pairs » 2009-09-04 12:38:54

tony123
Replies: 5

Find all pairs (a,b) of integers

such that


#16 Puzzles and Games » multiple of » 2009-07-24 23:22:10

tony123
Replies: 1

Each of the numbers

is either  1 or -1.

If the sum


,


prove that

must be a multiple of

.

#18 Puzzles and Games » relatively prime » 2009-07-16 19:27:11

tony123
Replies: 2

Consider the equations.

Where a,b are relatively prime positive integers.


find k

#19 Re: Puzzles and Games » pozitive real numbers » 2009-07-10 21:04:38

TheAbstractionist;337552 wrote:

By AM–GM, we have


and




Also, note that

is positive (because, by AM–GM,
So, multiplying the above two inequalities gives


Hence

Similarly,

and


(by inequality of arithmetic and harmonic means)[/indent]

Multiplying through by

will give the required inequality.

#20 Puzzles and Games » pozitive real numbers » 2009-07-09 21:04:58

tony123
Replies: 3

Let

be pozitive real numbers satisfying



#21 Puzzles and Games » Find » 2009-06-30 09:49:32

tony123
Replies: 6

Find the total number of positive integer solutions of:

#22 Puzzles and Games » f(x) » 2009-06-24 10:10:32

tony123
Replies: 4

Determine all polynomials

satisfying 



for all

.

#23 Puzzles and Games » Determine » 2009-06-23 19:08:41

tony123
Replies: 2

Determine all 

of positive rational numbers

such that


is an integer.

#24 Puzzles and Games » positive integers » 2009-06-22 10:24:14

tony123
Replies: 13

Determine all  pair(s) (A, B) of positive integers that satisfy this equation.

                                     

#25 Puzzles and Games » equation » 2009-05-22 02:37:08

tony123
Replies: 4

Solve the following equation:

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