# Inceptio

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bio website location age 18 member for 1 year, 10 months seen Dec 13 at 15:36 profile views 959

"I have had my results for a long time: but I do not yet know how I am to arrive at them."- C.F. Guass

 46 What is the real life use of hyperbola? 27 Pythagorean triplets $x^2+y^2 = z^3$ 18 How can I prove that $xy\leq x^2+y^2$? 13 Simplifying product of differences 8 Polynomials Question: Proving $a=b=c$.

# 6,342 Reputation

 +10 Improper Integral Question: $\int_0 ^ \infty\frac{x\log x}{(1+x^2)^2} dx$ +10 How to solve $x^3=-1$? +10 Prove by mathematical induction for any prime number$p > 3, p^2 - 1$ is divisible by $3$? +10 Pythagorean triplets $x^2+y^2 = z^3$

# 15 Questions

 12 Prove that there are infinitely many natural numbers $n$, such that $n(n+1)$ can be expressed as sum of two positive squares in two distinct ways. 10 Show that there are infinitely many solutions of distinct natural numbers $m,n$ such that $n^3+m^2\mid m^3+n^2$ 8 Proof of Wolstenholme's theorem.? 7 Evaluate $\int _0 ^ \pi \frac{x}{1+\sin^2(x)} dx$ 6 Polynomials Question: Proving $a=b=c$.

# 103 Tags

 95 elementary-number-theory × 84 38 algebra-precalculus × 27 68 number-theory × 41 37 real-analysis × 10 52 inequality × 24 33 trigonometry × 27 41 geometry × 34 32 diophantine-equations × 6 39 calculus × 41 29 sequences-and-series × 11

# 3 Accounts

 Mathematics 6,342 rep 928 Physics 108 rep 9 Chemistry 101 rep 2