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|-5|+|-4|+|0|=9
How many integral solutions does the equation
if
Find all pairs (a,b) of integers
such that
Each of the numbers
is either 1 or -1.
If the sum
prove that
must be a multiple of
.very good
Consider the equations.
Where a,b are relatively prime positive integers.
find k
By AM–GM, we have
and
Also, note that
is positive (because, by AM–GM, So, multiplying the above two inequalities givesHence
Similarly,
and
(by inequality of arithmetic and harmonic means)[/indent]Multiplying through by
will give the required inequality.
Let
be pozitive real numbers satisfyingFind the total number of positive integer solutions of:
Determine all polynomials
satisfying
for all
.Determine all
of positive rational numbers
such that
is an integer.
Determine all pair(s) (A, B) of positive integers that satisfy this equation.
Solve the following equation:
Find all triples (x, y, z) of positive integers such that
very nice thanks
tony123 wrote:You made a little mistake, mate. I think you want to find
no jane
Nice work thanks
Determine all solutions in real numbers a,b,c,d of the system
Factor
find all positive integers to
Solve in p.integers
Prove that the square of any odd prime > 3 is always 1 more than a multiple of 24