5q or 5 3 in top like 2 square
answer the 5q
Answers
Answer:
Answer
Let x be any positive integer
then, x=5q or x=5q+1 or x=5q+4 for integer x
If x=5q
x
2
=(5q)
2
=25q
2
=5(5q
2
)=5n
where n=5q
2
If x=5q+1
x
2
=(5q+1)
2
=25q
2
+10q+1=5(5q
2
+2q)+1=5n+1
where n=5q
2
+2q
If x=5q+4
x
2
=(5q+4)
2
=25q
2
+40q+16=5(5q
2
+8q+3)+1=5n+1
where n=5q
2
+8q+3
∴ In each three cases x
2
is either of the form 5q or 5q+1 or 5q+4 and for integer q.
Step-by-step explanation:
Let x be any positive integer
then, x=5q or x=5q+1 or x=5q+4 for integer x
If x=5q
x
2
=(5q)
2
=25q
2
=5(5q
2
)=5n
where n=5q
2
If x=5q+1
x
2
=(5q+1)
2
=25q
2
+10q+1=5(5q
2
+2q)+1=5n+1
where n=5q
2
+2q
If x=5q+4
x
2
=(5q+4)
2
=25q
2
+40q+16=5(5q
2
+8q+3)+1=5n+1
where n=5q
2
+8q+3
∴ In each three cases x
2
is either of the form 5q or 5q+1 or 5q+4 and for integer q.