Question

Prove that , if x and y both are odd positive integers, then
(x^2+y^2)
is even but not divisible by 4.
pls answer fast..
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Answer 1

Answer:

x=3 , y=5

Step-by-step explanation:

3,5 are odd positive integers

Then (3^2+5^2)=34 which is not divisible by 4

hope it helps you.

Answer 2

Solution :—

➣ We know that any odd positive integer is of the form 2q + 1 , [ where q is an integer ] .

➟ Let the two odd positive no. be

• x = 2k + 1 &
• y = 2p + 1

➟ Hence, x²+ y² = (2k + 1)² +(2p + 1)²

• = 4k² + 4k + 1  + 4p² + 4p + 1

                     

• = 4k² + 4p² + 4k + 4p + 2

•  = 4 (k² + p² + k + p) + 2 

★ clearly, notice that the sum of square is even .

The number is not divisible by 4

• hence, if x and y are odd positive integer,

then x² + y² is even but not divisible by four.