how many positive integer values of 'a' are possible such that (a+220)/(a+4) is an integer???
a)12
b)13
c)15
d)16
I found this one real tough n still havent proved it.....anyone with a novel approach?
Prove that there are no integral solutions for the eqn :
y^2 = x^3 + 7
| attitude is more important than facts |
@pavimai said:how many positive integer values of 'a' are possible such that (a+220)/(a+4) is an integer???a)12b)13c)15d)16
12?
forgot to exclude 1.
EDITED
@pavimai said:how many positive integer values of 'a' are possible such that (a+220)/(a+4) is an integer???a)12b)13c)15d)16
12?
@pavimai said:how many positive integer values of 'a' are possible such that (a+220)/(a+4) is an integer???a)12b)13c)15d)16
(a+220)/(a+4)
=>1+216/(a+4)
216=2^3*3^3
total factors = 16
out of these 1,2,3,4 will give a
so remaining =12
=>1+216/(a+4)
216=2^3*3^3
total factors = 16
out of these 1,2,3,4 will give a
so remaining =12
@surajmenonv said:I found this one real tough n still havent proved it.....anyone with a novel approach?Prove that there are no integral solutions for the eqn :y^2 = x^3 + 7| attitude is more important than facts |
positive n negative both?
@maddy2807 said:13?
@krum said:12
@onlytj said:12?
@catter2011 said:@pavimai 13 TF-3 = 16-13 = 13
OA is 12
@krum said:(a+220)/(a+4)=>1+216/(a+4)216=2^3*3^3total factors = 16out of these 1,2,3,4 will give aso remaining =12
absolutely correct !!
Each angle of an octagon is 135 and the sides are alternatively 2 and _/2. Find the area of the octagon.
@dragster said:or y= x^ (3/2) + 7^(3/2)7^(3/2) + anythin will nvr be integer, unless x^(3/2) = - 7^(3/2) , in that case y= 0 , but than also x not an integer..so no int solz.. proved.
bro.... (a+b)^n is not equal to a^n + b^n....
@surajmenonv said:bro.... (a+b)^n is not equal to a^n + b^n....
bhai galto ho gaye.. delete bi kiya but u caught me
@shadowwarrior
@shadowwarrior said:a,b,c,d are the steps in E-W-N-S dirns..a+b+c+d = 6and a=b and c=d ==> a+c=30 3; 1 2; 2 1; 3 0==>2* [6!/(3!^2) + 6!/(2!^2) ] = 2*[20 + 180] = 400....?and reg nmat, did u also write ur exam on nov9th (11:45am slot) or did u feel the same abt ur slot...?
a+c=3 tak samajh aay
but what do u mean by 6!/3!^2+6!/2!^2 ???
@sowmyanarayanan said:Each angle of an octagon is 135 and the sides are alternatively 2 and _/2. Find the area of the octagon.
Puy.. how the sides vary for a regular octagon.. with angles equal ?
@sowmyanarayanan said:Each angle of an octagon is 135 and the sides are alternatively 2 and _/2. Find the area of the octagon.
14 ???
@techsurge said:@shadowwarrior a+c=3 tak samajh aay but what do u mean by 6!/3!^2+6!/2!^2 ???
in 0 and 3 case:
we gt to arrange 0E, 0W, 3N and 3S...this can be done in 6!/3!^2
in 1 and 2 case:
we have to arrange 1e, 1w, 2n, 2s...this can be done in 6!/(2!^2)
we gt to arrange 0E, 0W, 3N and 3S...this can be done in 6!/3!^2
in 1 and 2 case:
we have to arrange 1e, 1w, 2n, 2s...this can be done in 6!/(2!^2)
@catter2011 said:Puy.. how the sides vary for a regular octagon.. with angles equal ?
even i am thinking the same thing.....if all the interior angles are equal...doesnt it make it a regular polygon (octagon) per se??????????? how can the sides NOT be equal.....@sowmyanarayanan pls confirm wether question is correct or not !
@catter2011 said:Puy.. how the sides vary for a regular octagon.. with angles equal ?
it can. if it varies alternatively.
consider rectangle. the angle is 90 though the sides vary alternatively