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Find three consecutive odd numbers such that the sum of their squares is a four-digit with all four digits the same?
Wiki User
∙ 15y ago
the three numbers are:
x - 2, x, x+2
the sum of their squares:
(x-2)2+ x2 + (x+2)2 = x2 - 4x + 4 + x2 + x2 + 4x + 4 = 3x2 + 8 = n*1111
n= 1,2,3 ... 9
x= sqrt((n*1111 - 8)/3)
n = 5, so x = 43 or -43 and the numbers are:
-45, -43, -41 or 41, 43, 45
Wiki User
∙ 15y ago
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How many digits are there in the numbers 100-425?
525
How many two digit numbers which have three factors?
The only numbers which have exactly three factors are perfect squares of prime numbers. That only gives us two results: 5^2 = 25 7^2 = 49 The squares of any other prime numbers are either too small or too large to have two digits. (The next smaller prime number is 3, and the next larger prime number is 11.)
How many 3 digit numbers are possible from the digits 012345?
Assuming that the first digit can't be zero: If repetition of digits is permitted: (5 x 6 x 6) = 180 numbers of 3 digits. If repetition of digits is not permitted: (5 x 5 x 4) = 100 numbers of 3 digits.
How many 3 digit numbers can be formed using the digits 2 3 5 6 7 9 if repetition of digits is not allowed?
120 There are 6 digits in total. The numbers with 3 digits, with all digits distinct from each other, are the permutations of the 6 digits taken 3 at a time, and therefore there are 6*5*4 = 120 of them.
How can you determine all 3 digit numbers which are equal to 11 times the sum of the squares of their digits?
It has to be something like 11*50=550 (5^2)+(5^2)=50 Therefore, 550 would be an answer. So far, that's the only one I have.
Find three consecutive odd numbers and the sum of whose squares consists of four identical digits?
Well, 47 49 51 53 are four consecutive odd numbers those total squared has for identical digits. 40000.... The square root of any number that is only four digits long all containing the same digit has a value that is not an integer.
What comes next in series 149 162 536 496 481?
"100. The numbers are consecutive squares (1, 4, 9, 16, etc) grouped in sets of three digits."
Can consecutive numbers be in decimals?
Yes, but only if there are no digits after the decimal point. For example, 18, 19, 20, 21 are consecutive numbers in the decimal system.
What is the sum of all the digits of these numbers 3 consecutive whole numbers is 2013?
The numbers are 670, 671 and 672.
What is its below 50 it is a multiple of 4 and the sum of its digits are 5 and its consecutive numbers?
41
23 is a consecutive two digit number Are there other two digit numbers using consecutive digits?
34, 45 etc.
What are consecutive digits?
the numbers 0 through 9 written in sequence or any portion of that sequence
What are consecutive identical digits?
Consecutive identical digits could be digits that are the same and appear next to one another in a number. For example, the hundreds and tens digits in 1442 could be considered consecutive identical.
What is the longest number string that only consists of prime numbers?
The longest string of consecutive numbers that are primes is two digits long, consisting of 2 and 3 only. There are no other consecutive numbers that are primes because no even numbers greater than 2 are primes.
What particular significance if any has the number 173?
173 is the 40th prime number and when squared it produces a number with only 2 digits, 29929. It can be obtained by adding the squares of 2 and 13, or by adding the 3 consecutive prime numbers of 53, 59, and 61.
What are non-consecutive digits?
Numbers that are not next to each other. Like 1 and 3. 1 and 2 wouldn't work.
Find two numbers in a row whose squares contain the same three digits?
13 & 14 (169 & 196)
