Abhijit
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 Mar28 awarded Yearling Dec10 comment Solving recurrence equations Ok great, but what is Q out here? Dec10 asked Solving recurrence equations Sep30 awarded Explainer Mar28 awarded Yearling Feb11 revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$? deleted 9 characters in body Feb11 revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$? edited body Feb11 revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$? added 141 characters in body Feb11 answered How many positive integers $< 1{,}000{,}000$ contain the digit $2$? Nov19 answered Prove if $56x = 65y$ then $x + y$ is divisible by $11$ Nov3 answered Proving that $A \cap (A \cup B) = A$ . Please check solution Oct28 comment How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$ @CasperLi: I thought it was well known identity. For a proof I have added a spoiler Oct28 revised How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$ added 465 characters in body Oct26 answered How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$ Aug7 comment What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. @VISHNUVIVEK: I am working with Oracle. I though B.Stat/M.Stat in ISI, but any case IIT Madras is also a tough nut to crack :-) Aug7 revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. edited body Aug7 comment What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. It was asked during PG admission to India's top university.. What is the name of the University? Aug7 comment What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. The reason you get $10_{10}$ as one of the solution of the equations when you substitute the root $5_{10}$ in the equation is because, $5_{10}$ is the solution of the equation $5_{10}x^{2_{10}}+50_{10}x+125_{10}=0$. In similar ways, you get $25_{10}$ as one of the solution when you substitute the root $8_{10}$ as it is the solution of the equation $5_{25}x^{2_{25}}+50_{25}x+125_{25}=0_{25}$. Note, the subscript denotes the base of the number. Aug6 revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. edited body Aug6 answered What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle.