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Let the numbers be 'n' & 'n+2'
Hence their squares are
n^(2) + (n+2)^(2)
Their sum is
n^(2) + (n+2)^(2) = 130
Multipoly out the second set of brackets
n^(2) + n^(2) + 4n + 4 = 130
Collect like terms
2n^(2) + 4n - 126 = 0
Factor our '2'
n^(2) + 2n - 63 = 0
It is now in quadratic form ; factor
(n + 9)(n - 7) = 0
n = -9
&
n = 7
Are the tweo odd numbers.
What else can I help you with?
The sum of the squares of two consecutive odd integers is 34 what are the numbers?
3 and 5
What are consecutive even or odd integers?
Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.
What are two consecutive integers of 80?
There are two consecutive odd integers. The numbers are 39 and 41.
What is the sum of the first 700 consecutive odd numbers?
490,000
If the sum of the squares of two consecutive odd positive integers is 202 what are the integers?
112+92 is 202.
What is the answer to this---Find two consecutive integers the sum of whose squares is 130?
If you have two consecutive integers then one of them must be odd and the other must be even. The square of an odd integer must be odd, the square of an even integer must be even. The sum of an odd number and an even number must be odd. Thus, the sum of squares of any two consecutive numbers must be odd. Therefore, the question has no valid answer.
The sum of the squares of two consecutive odd integers is 34 what are the numbers?
3 and 5
What are consecutive odd numbers?
There are no two consecutive odd numbers.
What is the HCF of two consecutive odd numbers?
The GCF of consecutive odd numbers is 1.
What two consecutive numbers add up to 60?
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
The sum of the squares of two consecutive negative odd integers is 74 Find the integers?
The two consecutive negative odd integers having 74 as the sum of their squares are -5 and -7.
Is The difference between consecutive perfect square numbers is always odd?
Yes, the difference between consecutive perfect square numbers is always odd. If ( n ) is a positive integer, the perfect squares are ( n^2 ) and ( (n+1)^2 ). The difference between them is ( (n+1)^2 - n^2 = 2n + 1 ), which is always odd since ( 2n ) is even and adding 1 results in an odd number. Thus, the difference between any two consecutive perfect squares is consistently odd.
What are consecutive square numbers?
Consecutive square numbers are the squares of consecutive integers. For example, if you take the integers 1, 2, and 3, their squares are 1² = 1, 2² = 4, and 3² = 9, making 1, 4, and 9 consecutive square numbers. These square numbers differ by an increasing odd number: 4 - 1 = 3 and 9 - 4 = 5. Thus, the pattern continues as you square larger consecutive integers.
What is the sum of the first 50 consecutive odd numbers?
the sum of first 50 consecutive odd numbers is 9801
What is the first 30 sum consecutive odd numbers?
The sum of the first 30 consecutive odd numbers is 900.
What the sum of the first 60 consecutive odd numbers?
The sum of the first 60 consecutive odd numbers is 3,600.
What is the sum of the first 900 consecutive odd numbers?
The sum of the first 900 consecutive odd numbers is 810,000.
