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Inceptio's user avatar
Inceptio's user avatar
Inceptio
  • Member for 11 years, 3 months
  • Last seen more than 6 years ago
51 votes
Accepted

What is the real life use of hyperbola?

37 votes
Accepted

Variation of Pythagorean triplets: $x^2+y^2 = z^3$

22 votes

How can I prove that $xy\leq x^2+y^2$?

13 votes
Accepted

Simplifying product of differences

13 votes

Prove that $(a-b) \mid (a^n-b^n)$

12 votes
Accepted

What is a residue class?

9 votes

Show that $8 \mid (a^2-b^2)$ for $a$ and $b$ both odd

8 votes
Accepted

Suppose that $f(x)$ is continuous on $(0, \infty)$ such that for all $x > 0$,$f(x^2) = f(x)$. Prove that $f$ is a constant function.

8 votes

Polynomials Question: Proving $a=b=c$.

7 votes
Accepted

Find the smallest integer $n > 0$ such that $2012$ divides $9^n-1$.

7 votes

Conditions required to allow an equilateral triangle to be constructed with a vertex on each of three concentric circles

7 votes

How to evaluate $\sqrt[3]{a + ib} + \sqrt[3]{a - ib}$?

7 votes

Summation of logs

7 votes

Integral of $\sin x \cdot \cos x$

6 votes
Accepted

Express an even number as a sum of primes

6 votes
Accepted

$\frac{a}{1-a}+\frac{b}{1-b}+\frac{c}{1-c}+\frac{d}{1-d}+\frac{e}{1-e}\ge\frac{5}{4}$

6 votes
Accepted

If $\left |z-3\right |=\left |z+i\right |$, where $z=x+iy$, prove that $3x+y=4$

6 votes

Infinite powering by $i$

6 votes
Accepted

Show that $\frac{x}{1-x}\cdot\frac{y}{1-y}\cdot\frac{z}{1-z} \ge 8$.

6 votes
Accepted

divisibility of factorials: $a!b!(a+b)! \mid (2a)!(2b)!$

5 votes

How to solve equation like this?

5 votes

Trigonometric Functions And Identities Question .

5 votes

Is $|1-i|$ larger than $|1|$?

5 votes
Accepted

How to derive this expression $ r ^{ (p-1)/2} \equiv -1 \pmod p$ for primitive root of an odd prime $p$.

5 votes

How to determine the exact value of $\sin(585^\circ)$?

5 votes
Accepted

Calculation Of Integral Related To Sequence

5 votes

How does a calculator calculate the sine, cosine, tangent using just a number?

5 votes
Accepted

$(n-1)! \equiv \text{?} \bmod n$

5 votes
Accepted

The perimeter of the rectangle is $20$, diagonal is $8$ and side is $x$. Show that $x^2-10x+18=0$

5 votes
Accepted

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.

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