0
Is the sum of the squares of integers separated by a value of 2 will always be even?
Wiki User
∙ 11y ago
It looks to me as if that's true. I reasoned thusly, and scratched it out
on the margin of my coffee-stained notepad:
You gave me integers separated by 2, so the integers are [x] and [x+2].
-- Their squares are [x2] and (x+2)2
-- That's [x2] and [x2 + 4x + 4].
-- The sum of their squares is [x2 + x2 + 4x + 4]
= [ 2x2 + 4x + 4 ]
-- Since [x] is an integer, each term in that trinomial is an integer.
-- The coefficients are '2' and '4', so each term is an even number.
-- So their sum is even.
-- Q.E.D.
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
When comparing two integers the integer with the greater absolute value is always the greater integer?
No.A positive integer is always larger than a negative integer. In the case of two negative integers, the integer with the larger absolute value is actually smaller.
Is the sum of two integers positive or negative?
If for the two integers a + b = c, a is larger than zero and b is larger than the absolute value of the first number, then c is always positive. If a is smaller than zero, and b is larger than the absolute value of the second number, then c is positive. If a is smaller than zero, and b is smaller than the absolute value of the second number, then c is negative.
How many integers have an absolute value of 15?
Two. +15 and -15 are the only integers with an absolute value of 15.
The product of two integers is zero what do you know about the value of the least one of the integers explain?
At least one of the integers is negative.
What are opposite integers?
Integers are the "counting numbers" and their negative counterparts, and zero. Opposite integers are the pairs of integers that have the same absolute value, or, in other words, are the same distance from zero. 10 and -10 are opposite integers. 43 and -43 are opposite integers. It's just that simple.
Is the sum of two negative integers always greater in value?
No, it is never so.
When comparing two integers the integer with the greater absolute value is always the greater integer?
No.A positive integer is always larger than a negative integer. In the case of two negative integers, the integer with the larger absolute value is actually smaller.
When comparing two integers the integer with the bigger absolute value is always the greater integer?
The statement is false.
How is absoulute value different from positive and negative integers?
The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3
Why is it that absolute value of any integers is always positive?
It may also be zero. This is because of the way the absolute value is defined. The idea is, precisely, to get rid of the minus sign.
Is the sum of two integers positive or negative?
If for the two integers a + b = c, a is larger than zero and b is larger than the absolute value of the first number, then c is always positive. If a is smaller than zero, and b is larger than the absolute value of the second number, then c is positive. If a is smaller than zero, and b is smaller than the absolute value of the second number, then c is negative.
What is the integers value of 5'5?
The integer value is 5.
How many integers have an absolute value of 15?
Two. +15 and -15 are the only integers with an absolute value of 15.
What is the term for a value separated from the rest of the data?
A value separated from the rest of the data is called an outlier
When adding 2 integers will the answer be positive?
When adding two integers, the answer will be positive if both integers are positive, or if one is negative but its absolute value is smaller than the absolute value of the positive integer.
The product of two integers is zero what do you know about the value of the least one of the integers explain?
At least one of the integers is negative.
How much was 25 in 1910?
25 was exactly 25 in 1910. The value of integers has not changed since they were first conceived.25 was exactly 25 in 1910. The value of integers has not changed since they were first conceived.25 was exactly 25 in 1910. The value of integers has not changed since they were first conceived.25 was exactly 25 in 1910. The value of integers has not changed since they were first conceived.
