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MaximusFastidiousIrreverence
  • Member for 5 years, 5 months
  • Last seen this week
  • Southern MD, United States
11 votes

Showing that $m^3+4m+2=0$ has only one real root

9 votes

How to find all rational solutions of $\ x^2 + 3y^2 = 7 $?

9 votes
Accepted

Explain this convergence among Pythagorean triplets

9 votes

Finding the maximum value without using derivatives

6 votes

Evaluating $\sin^{-1}(\cos(40))$

6 votes

Why is $x^2+1$ not divisible by 3?

4 votes

Find All $x$ values where $f(x)$ is Perfect Square

4 votes

Prove $7$ divides $13^n- 6^n$ for any positive integer

3 votes

Pell Equations: $a^2+4=5b^2$

3 votes
Accepted

Prove $\cot\frac{\theta}{2} - 2\cot\theta = \tan\frac{\theta}{2}$

3 votes

How do I get from $\frac13n(n+1)(n+2)+(n+2)(n+1)$ to $\left(\frac13n + 1\right)(n+1)(n+2)$?

2 votes

If $f : \mathbb R \rightarrow \mathbb R $ such that $f(x^2+x)+2f(x^2-3x+2) = 9x^2-15x$. Find $f(2016)$.

2 votes

Express $z = \dfrac{3i}{\sqrt{2-i}} +1$ in the form $a + bi$, where $a, b \in\Bbb R$.

2 votes

Proving $\frac{\sqrt{k(k+1)} }{k-1} \leq1 + \frac{2}{k} + \frac{3}{4k^2}$ for $k \geq 3$.

2 votes

How to check if $ x^2 + x = y^2 - 1$ has positive integer solutions?

2 votes
Accepted

Find all $n$ for which $3n^2+3n+1$ is a perfect square.

2 votes

Non negative integer triplets $(x,y,z)$ in $x^2+2y^2+4z^2+5=2(x+y+xy)+4z(y-1)$

2 votes
Accepted

Number of normals from (-2,2) for parabola $y^2-2y-2-1=0$?

2 votes

Indefinite integral of $\sqrt{x^2-x}$

2 votes

Finding a Pythagorean triple $a^2 + b^2 = c^2$ with $a+b+c=40$

2 votes

How to find integer solutions to $M^2=5N^2+2N+1$?

2 votes

Proving $f: \Bbb{Z} \times\Bbb{Z} \to \Bbb{Z}, \ f(a,b)=3a-2b$ is surjective without using linear diophantine equation

2 votes

Distinct integer solutions to $a^2+b^2=c^2+d^2$

2 votes

Ordered pairs of positive integers $2^{2x} - y^2 = 60$

2 votes

For what values of $x$ is the series $\sum_{k=2}^{\infty}\frac{(x-2)^k}{k\ln{k}}$ convergent?

2 votes

Injection/Surjection of a quadratic function

2 votes

Diophantine equation $4x^2+n(n+1)x=y^2$ for a given $n>2$.

2 votes

Does the series $\sum \frac{1}{n^{\ln n}}$ converge or diverge?

1 vote
Accepted

In the sequence $1,4,11,26$… each term is $2⋅(n-1)^{th}$ term $+ n$. What is the $n^{th}$ term?

1 vote

How many pairs of positive integers $(x,y)$ satisfy the equation $x^2 - 10! = y^2$?