證明所有平方數除4皆餘1or0
2007-08-04 11:07 pm
證明所有平方數除4皆餘1or0證明所有平方數除4皆餘1or0證明所有平方數除4皆餘1or0證明所有平方數除4皆餘1or0證明所有平方數除4皆餘1or0證明所有平方數除4皆餘1or0證明所有平方數除4皆餘1or0
回答 (6)
2007-10-16 6:55 am
錯。
2007-10-14 12:05 am
低b仔
2007-09-16 7:11 pm
Freshman's dream
2007-08-15 3:12 am
What?
He is correct?
My GOD!!!!
(x + y)^2 = x^2 + y^2 ???!!!
He is the best answer?!
He is correct?
My GOD!!!!
(x + y)^2 = x^2 + y^2 ???!!!
He is the best answer?!
2007-08-05 4:00 am
The question should be stated clearly that:
The remainder is 1 or 0 when a square "integer " is divided by 4.
For even numbers 2n,
(2n)^2 = 4n^2
4n^2 is divisible by 4. The remainder is 0.
For odd numbers (2n + 1),
(2n + 1)^2 = 4n^2 + 4n + 1 = 4(n^2 + n) + 1
So the remainder is 1.
Combining the results, the remainder is 1 or 0 when an square integer is divided by 4.
The remainder is 1 or 0 when a square "integer " is divided by 4.
For even numbers 2n,
(2n)^2 = 4n^2
4n^2 is divisible by 4. The remainder is 0.
For odd numbers (2n + 1),
(2n + 1)^2 = 4n^2 + 4n + 1 = 4(n^2 + n) + 1
So the remainder is 1.
Combining the results, the remainder is 1 or 0 when an square integer is divided by 4.
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