Question

Show that the square of any positive integer cannot be in the form of 5q+2 or 5q+3​

Answer 1

Answer:

To prove that square of any positive integer cannot be in the form 5q+2 or 5q+3 ,

*Let use first assume hypothetically that square of a positive number is in the form 5q+2 or 5q+3*

Let the positive integer be 'q'

square of the +ve number as per assumption :

q²=5q+2

q²-5q-2=0

factorising the above equation , we ge the factors as

-(5±√33)/2 which is a negative number

so our hypothetical assumption is wrong

Therefore square of any positive integer cannot be in the form of 5q + 2 .. (similarly , by assumption we can prove it also for 5q+3)

(Let me know if this helped!.. if yes mark it as ✧Brainliest answer✧)

Answer 2

Answer:

here is the similar answer