Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 550 off


no. of positive integral solution of   x^4 - y^4  = 3789108

a) 0

b) 1

c) 2

d) 4

7 years ago


Answers : (1)


Both x and y are even or both x and y are odd (i.e. x and y are of the same parity)


If, both x and y are odd, then since every odd square is of the form 8k+1, LHS is divisible by 8, whereas RHS is not.


If both x and y are even, then LHS is divisible by 16, whereas we have already seen that RHS is not divisible by 8 and hence not divisible by 16 too.

7 years ago

Post Your Answer

Other Related Questions on Algebra

FIND DOMAIN:- 1.sqrt cos(sinx) 2.sqrt sin(cosx) 3.1/sqrt 1+2sinx
For finding out the domain of the sqrt function, is should only take care of the condition that anything inside the sqrt should be always greater then or equal to positive only. It...
Vijay Mukati 2 months ago
0 to 2pi ,,,,pi/2 to -pi/2 these are the answers to the first two questions... similarly solve the third question and obtain the domain. always remember that denominator not equal to zero...
Rishabh Ranjan Das 2 months ago
Most common sequence and series questions that come in entrance exams
@ nikita WHAT EXACTLY U WANT TO KNOW ?? i am sorry there is no attachment in the question , kindly attach the ques in which u have problems . and the most imp topics in that chap is sum of...
Umakant biswal 29 days ago
number of ways we can arrange 1,2,3,4,...8 such that the product of any five consecutive position is divisible by 5
If 5 is placed in the 4 th or 5 th place, then the product of any 5 consecutively placed numbers will be divisible by 5. So, for 5, we have two choices of placement, and corresponding to...
mycroft holmes 2 months ago
Hint: First find out the possible ways of product of five numbers havinng last digit 0 or 5 . u will have to check this first. then find the consecutiveness order .
Vikas TU 2 months ago
equations of lines which passes through the points of intersection of the lines 4x-3y-1=0and 2x-5y+3=0and are equally inclined to the axes are: y(+or-)x=0 y-1=(+or-)1(x-1) x-1=(+or-)2(y-1)...
The Point of intersection is (1, 1) The equation of line passing through this point is y-1 = m(x-1) where m is slope or y-mx + m-1 = 0. Since line makes equal with both axes this is...
Ajay 2 months ago
Find the equation of line passing through (2,2) and having intercepts whose sum is -1
let the eqn. of the line is: x/a + y/b = 1 now pass it through (2,2) coordinates. 2/a + 2/b = 1......(1) and given a+b = 1.............(2) solve these two eqns. and get the valiues of a and ...
Vikas TU one month ago
in a triangle tana+tanb+tanc=6 & tana*tanb=2 then find the value of tana,tanb,tanc
In A triangle tana+tanb+tanc = tana*tanb*tanc =6
Sourabh Singh 2 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 550 off

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details