ninjagod123
- 7
- 0
How do I prove that 5 divides x^5 - x??
How do I prove that 5 divides x^5 - x??
How do I prove that 5 divides x^5 - x??
How do I prove that 5 divides x^5 - x?
- Thread starter ninjagod123
- Start date
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
2 replies · 3K views
Discussion
Physics news on Phys.org
Compute the fifth powers mod 5.
- 4,305
- 49
Let me give you a hint: checking it for x = 0, 1, 2, 3 and 4 suffices.
(In fact, as 4 = -1 (mod 5) and 3 = -2 (mod 5), you can see that only x = 0, 1, 2 will do).
I'll let you figure out why.
Similar threads
How do I prove an either/or inequality?
- Eclair_de_XII
- · Replies 7 ·
- Calculus and Beyond Homework Help
- Replies
- 7
Question on lim x→1 (x − 5) / (x^2 + 2x − 4) ?
- alaa amed
- · Replies 1 ·
- Calculus and Beyond Homework Help
- Replies
- 1
How do I prove that both are equivalent limits
- sooyong94
- · Replies 12 ·
- Calculus and Beyond Homework Help
- Replies
- 12
How do I prove |xy| = |x| * |y|?
- athena810
- · Replies 33 ·
- Calculus and Beyond Homework Help
- Replies
- 33
What is the second derivative of f(x) = x√(5-x)?
- frosty8688
- · Replies 5 ·
- Calculus and Beyond Homework Help
- Replies
- 5
Solve Trig Integral: x^5 + x^5 + [cos(x)]^6
- lovemake1
- · Replies 7 ·
- Calculus and Beyond Homework Help
- Replies
- 7
How Do I Prove These Mathematical Limit Relations?
- mathmathRW
- · Replies 5 ·
- Calculus and Beyond Homework Help
- Replies
- 5
How do I prove the Fourier transform of f'(x) is iμF(μ) with given conditions?
- member 428835
- · Replies 17 ·
- Calculus and Beyond Homework Help
- Replies
- 17
The Integration by Parts Method: How to Integrate x * 5^x
- whatlifeforme
- · Replies 5 ·
- Calculus and Beyond Homework Help
- Replies
- 5
How do I prove the statement p(n)= n >(or equal to) 0 using induction?
- Jtechguy21
- · Replies 2 ·
- Calculus and Beyond Homework Help
- Replies
- 2