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

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

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

Grade:10

1 Answers

S. Haris Ahmed Irfan
29 Points
7 years ago
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}

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free