Question

prove that if x is odd, then x^2 is also odd

Answer 1

heya...

Here is your answer...

If x is odd then x^2 is also odd.

Example: Let us take,

x = 3

x^3

= 3^3

= 27

Therefore if x is odd then x^2 is also odd.

It may help you...☺☺

Answer 2

Proof :

Let us take x as an odd number.

Then, x = 2n + 1, where n is any Natural number

Now, x²

= (2n + 1)²

= (2n)² + (2 * 2n * 1) + 1²

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= 2p + 1, where p = 2n² + 2n

This is in the form of (2n + 1) and thus x² is also an odd number when x is an odd number

Hence, proved.

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