MHB Find the Maximum of n: $n^2 - 2112$

  • Thread starter Thread starter Albert1
  • Start date Start date
  • Tags Tags
    Maximum
Albert1
Messages
1,221
Reaction score
0
$n\in N$
$n^2 - 2112 $ is a multipler of $n+10$
please find :$max(n)$
 
Mathematics news on Phys.org
Re: Find max (n)

Albert said:
$n\in N$
$n^2 - 2112 $ is a multipler of $n+10$
please find :$max(n)$

n^2 - 2112 = n^2 - 100 - 2012

= (n+10)(n-10) - 2012

2012 is divisible by n+ 10 so max n = 2002
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Similar threads

MHB What is the Value of N in the Equation N + S(N) = 2000?
Replies
3
Views
1K
MHB Proving $\dfrac{(n-1)^{2n-2}}{(n-2)^{n-2}}<n^n$ for $n\ge 3$
Replies
1
Views
903
A Limit of ##i^\frac{1}{n}## as ##n \to \infty##
Replies
14
Views
2K
I Finding N / log(2) and M / log(3) very close together
Replies
9
Views
2K
I Billard balls on table
Replies
10
Views
2K
MHB What are the values of n and k in n+8=2^k when n!+8 = 2^k?
Replies
8
Views
2K
MHB Compute $\sum_{n=1}^{2020} (f(n)-g(n))$
Replies
1
Views
1K
MHB Positive Integer Solutions of $(x^2+y^2)^n=(xy)^{2014}$
Replies
2
Views
2K
I Name of distance to nearest multiple of n function?
Replies
1
Views
1K
B Wolfram Alpha's Why the 2 i π n?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top