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N.S.JOHN

High school student. I am interested in combinatorics and algebra. I am also interested in Physics and in general all sciences, and enjoy visiting SE often. Living in Kerala, India

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  • Member for 5 years, 3 months
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  • Last seen Mar 15 at 16:06

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13 Find minimal value of $abc$ if the quadratic equation $ax^2-bx+c = 0$ has two roots in $(0,1)$ Feb 8 '17
11 Prove that $2^n+3^n $ is never a perfect square May 21 '16
6 Find all positive solutions such that $n^2 + 9n +1$ is a perfect square Oct 16 '16
5 Given $ x_1 + x_2 + … + x_{1994} = 1994$ find all $x_i$ Jan 27 '17
5 Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square Jan 29 '17
5 How can we prove that a quadratic equation has at most 2 roots? Mar 8 '16
4 Given $\frac1{x+y+z}=\frac1x+\frac1y+\frac1z$ what can be said about $(x+y)(y+z)(x+z)$? Oct 8 '16
4 Incircle problem Jan 22 '17
4 Find the remainder when a large number is divided by 35. May 22 '16
3 Greatest possible perimeter Aug 13 '16
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