Shobhit's user avatar
Shobhit's user avatar
Shobhit's user avatar
Shobhit
  • Member for 10 years, 9 months
  • Last seen more than a month ago
  • New Delhi, India
21 votes

Collection of surprising identities and equations.

19 votes

Complex power of a complex number

17 votes

$\tan A + \tan B + \tan C = \tan A\tan B\tan C\,$ in a triangle

16 votes
Accepted

Roots of unity polynomial

13 votes

What is the sum of (n-1)+(n-2)+...+(n-k)?

13 votes

geometric problem solved with Pigeon Hole Principle

11 votes

Finding out the area of a triangle if the coordinates of the three vertices are given

9 votes
Accepted

Prove $a + b\sqrt{2}$ is irrational

8 votes

Decipher the greeting card $( X^2 +Y^2 -1 ) ^3 - X^2 Y^3 = 0$

8 votes
Accepted

Special property of multiples of 6

7 votes
Accepted

Can't simplify this fraction: $ \frac{1+x^6}{1+x^2}$

7 votes
Accepted

How to efficiently compute $17^{23} (\mod 31)$ by hand?

6 votes
Accepted

positive integer solutions of $y=\frac{5x}{3x-5}$

6 votes

How many 10 digit numbers are there so the sum of the digits is $2$?

6 votes
Accepted

Please Help me solve as detailed as possible. I can't remember.

5 votes
Accepted

Complex isosceles triangle...

5 votes

Proving that $x^5 = x \pmod{10}$ for every integer $x$.

5 votes
Accepted

Why can't i diffrentate by taking logarithms directly?

5 votes

Derivation of the quadratic equation

4 votes
Accepted

Number of ways to fill a grid with balls

4 votes
Accepted

Prove: Sum and Difference of two distinct positive integers are both perfect squares.

4 votes

Limit approaching 2a

4 votes

Quadratic Equation Roots Prove

4 votes

Olympiad minimum question, minimal value

4 votes
Accepted

Sum of sequence of $\binom{n}{r}$

4 votes
Accepted

Solve for $x$ in $6x^2-25x+12+\frac{25}{x}+\frac{6}{x^2}=0$

4 votes
Accepted

Number puzzle from NAPLAN practice quiz, I know the answer, but I can't figure out why it is the answer

4 votes

What is the remainder when $x^7-12x^5+23x-132$ is divided by $2x-1$? (Hint: Long division need not be used.

4 votes
Accepted

n is+ve integer, how many solutions $(x,y)$ exist for $\frac{1}{x} + \frac{1}{y} = \frac{1}{n}$ with $x$, $y$ being positive integers and $(x \neq y)$

4 votes
Accepted

How to properly divide equations and inequalities by a variable?

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