Question

1. Find the HCF of 52 and 117 and express it in form 52x + 117y.
2. Prove that x2 – x is divisible by 2 for all positive integer x.
3. If m and n are odd positive integers, then m2 + n2 is even, but not divisible by 4. Justify.(answer properly if you can i'm giving 30 points don't spam

Answer 1

Answer:

Suppose that the value of x=

6.12

ˉ

now, x=6.12121212−−−−

multiplay 100 on both side

then,

100x=6.121212−−−−−

100x=606+6.121212−−−−−

100x=606+x

100x−x=606

99x=606

x=

99

606

x=

33

203

then, the deniminoter is 33

Hence, this is the answer