badge image

Enroll For Free Now & Improve your performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

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

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 10

                        

Prove that if x & y are odd positive integers then x^2+y^2 is even but not divisible by 4

6 years ago

Answers : (1)

S. Haris Ahmed Irfan
29 Points
							all odd positive integers are of form 2q+1
therefore let x=2q+1 and y=2p+1 (where p and q are integers)
x^2=(2q+1)^2=4q^2+1+4q
y^2=(2p+1)^2=4p^2+1+4p
therefore x^2+y^2=4q^2+1+4q+4q^2+1+4q
after rearranging
4(q^2+p^2+p+q)+2
this number is clearly even but is not divisible by 4 {since 2 is added at the end}
						
6 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 728 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

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