Friday, 2 February 2018

Q. FIND ALL INTEGERS x AND y SUCH THAT (x,y)=8 AND [x,y]=64.  [NUMBER THEORY].
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pigeonhole principal

Prove that any sequence of nm + 1 distinct real numbers either contains an increasing subsequence of length n + 1 or a decreasing subsequen...

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    Suppose n≥0 is an integer and all the roots of x³+bx+4-(2×2016ⁿ)=0 are integers . Find all possible b.
  • pigeonhole principal
    Prove that any sequence of nm + 1 distinct real numbers either contains an increasing subsequence of length n + 1 or a decreasing subsequen...