Question

prove that the square of any positive integer is the form of 5q ,5q+1 ,5q+4 Of some positive integers​

Answer 1

Step-by-step explanation:

a=bq+r where 0 is less than or equal to r and r is less than b

b=5 and r=0,1,2,3,4

Case 1 : r=0

a=bq+r

=5q+0

SOBS(square on both sides)

=(5q)²

=25q²

=5q(5q)

so 5q is a multiple of number and is form of 5q

case 2: r=1

a=bq+r

=5q+1

SOBS

(5q+1)²

apply (a+b)²=a²+2ab+b²

25q²+2(25q)(1)+1²

25q²+50q+1

5q(5q+10)+1

So 5q is a multiple of the number and is of the form 5q+1

like this do till r=4 and you will get the number to be in the form 5q,5q+1,5q+4

Answer 2

Answer:

hey you mate I have given you answer in the pic