Deepak Gupta's user avatar
Deepak Gupta's user avatar
Deepak Gupta's user avatar
Deepak Gupta
  • Member for 8 years, 6 months
  • Last seen more than 2 years ago
4 votes

If $\sqrt{n}$ is not an integer, are there any rational numbers $x$ such that $x^2 = n$?

3 votes
Accepted

If AB is a common tangent to two circles, prove that the circle in AB as a diameter cuts each of the circles orthogonally

3 votes
Accepted

How to apply the binomial theorem to $(a^n - b^n)/(a - b)$?

2 votes
Accepted

Friday the 13th future possible

2 votes

prove that $24 \mid a(a^2-1)$

2 votes

Combinatorial proof $\sum_{i=1}^n i/(i + 1)! = 1 - 1/(n+1)!\quad\forall n\in\mathbb N$

2 votes
Accepted

Why doesn't quadratic formula lead to a the correct factored form of the original equation?

1 vote

How to factor this expression completely?

1 vote

Proof that expression is integer, $\frac{(2n)!}{n!(n+1)!}$

1 vote

Prove by contradiction $a,b,c>0$?

1 vote

Integrating trig substitution triangle equivalence

1 vote

"such that" in logical statements

1 vote
Accepted

Formula for a variation of Pascal´s Triangle

1 vote
Accepted

Prove that all integers $n$ with $n \ge 12 $ is in the set.

0 votes

Prove that event B with probability 1 sooner or later happens

0 votes

Is it possible to find the mean of more than two points on a number line?

0 votes

The numerical relation of the sum of two divergence series

0 votes

Finding the exact value of $\tan(\cos^{-1} x)$

0 votes

Probability of drawing an ace

0 votes

Probability Question for two draws out of three items

0 votes

How to solve $2 \tan x / (1 - (\tan x)^2) = (\sin 2x)^2$?

0 votes

Inequality with Absolute Values

0 votes

Prove: For every $\epsilon > 0$, there exists a $\delta >0$ such that $1 - \delta < x < 1 + \delta$ implies that $2 - \epsilon < 7 -5x< 2 + \epsilon$

0 votes

Equality in AM GM Inequality

-1 votes

Why does the a*c cheat work when factoring trinomials?