User Deepak Gupta

4 votes

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

answered Sep 9, 2015 at 6:12

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

answered Sep 22, 2015 at 8:19

3 votes

Accepted

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

answered Dec 17, 2015 at 13:03

2 votes

Accepted

Friday the 13th future possible

answered Sep 21, 2015 at 15:29

2 votes

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

answered Sep 9, 2015 at 7:30

2 votes

Accepted

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

answered Sep 1, 2015 at 19:47

2 votes

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

answered Sep 1, 2015 at 9:27

1 vote

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

answered Sep 2, 2015 at 7:17

1 vote

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

answered Sep 2, 2015 at 8:44

1 vote

How to factor this expression completely?

answered Sep 1, 2015 at 20:08

1 vote

Integrating trig substitution triangle equivalence

answered Sep 2, 2015 at 11:24

1 vote

Accepted

Formula for a variation of Pascal´s Triangle

answered Sep 9, 2015 at 13:15

1 vote

"such that" in logical statements

answered Sep 11, 2015 at 6:45

1 vote

Accepted

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

answered Dec 17, 2015 at 18:56

0 votes

Prove that event B with probability 1 sooner or later happens

answered Jan 13, 2016 at 14:21

0 votes

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

answered Sep 22, 2015 at 4:13

0 votes

Probability of drawing an ace

answered Sep 18, 2015 at 20:23

0 votes

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

answered Sep 11, 2015 at 6:38

0 votes

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

answered Sep 2, 2015 at 14:00

0 votes

Inequality with Absolute Values

answered Sep 5, 2015 at 5:02

0 votes

The numerical relation of the sum of two divergence series

answered Sep 22, 2015 at 5:34

0 votes

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

answered Sep 1, 2015 at 20:51

0 votes

Equality in AM GM Inequality

answered Sep 2, 2015 at 5:20

0 votes

Probability Question for two draws out of three items

answered Sep 21, 2015 at 8:04

-1 votes

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

answered Sep 1, 2015 at 18:47

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25 Answers

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

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

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

Friday the 13th future possible

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

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

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

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

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

How to factor this expression completely?

Integrating trig substitution triangle equivalence

Formula for a variation of Pascal´s Triangle

"such that" in logical statements

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

Prove that event B with probability 1 sooner or later happens

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

Probability of drawing an ace

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

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

Inequality with Absolute Values

The numerical relation of the sum of two divergence series

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

Equality in AM GM Inequality

Probability Question for two draws out of three items

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