Abhijit
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# 211 Actions

 Mar 28 awarded Yearling Jun 13 answered Express 99 2/3% as a fraction? No calculator Mar 28 awarded Yearling Dec 10 comment Solving recurrence equations Ok great, but what is Q out here? Dec 10 asked Solving recurrence equations Sep 30 awarded Explainer Mar 28 awarded Yearling Feb 11 revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$? deleted 9 characters in body Feb 11 revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$? edited body Feb 11 revised How many positive integers $< 1{,}000{,}000$ contain the digit $2$? added 141 characters in body Feb 11 answered How many positive integers $< 1{,}000{,}000$ contain the digit $2$? Nov 19 answered Prove if $56x = 65y$ then $x + y$ is divisible by $11$ Nov 3 answered Proving that $A \cap (A \cup B) = A$ . Please check solution Oct 28 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 Oct 28 revised How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$ added 465 characters in body Oct 26 answered How to prove $\cos ^6x+3\cos ^2x\space \sin ^2x+\sin ^6x=1$ Aug 7 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 :-) Aug 7 revised What would have been our number system if humans had more than 10 fingers? Try to solve this puzzle. edited body Aug 7 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? Aug 7 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.