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Call the integer square roots of the specified pair of numbers l and g for lesser and greater respectively. Then, from the problem statement, g2 - l2 = 105. Possible values for l2 are successively 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, .... , and corresponding values for g2 are 106, 109, 114, 121, ... etc. The first of the latter series that is a perfect square number is 121. Therefore, the square numbers are 121 and 16.
What else can I help you with?
Which pair of numbers does the square root of 68 fall between?
They are; 8 and 9 but the square root of 68 is about 8.246211251
Which pair of consecutive whole numbers is the square root of 23 between?
-5 and -4 or 4 and 5
What is a constant interval?
An interval that remains the same throughout a sequence
What two numbers whose sum is 111 and whose difference is 43?
This is easily solved by using two equations in 2 unknowns and solving the system. x + y = 111 x - y = 43 If have not yet had the pleasure of studying algebra and the answer is important to you, you could hope the numbers are positive integers and try all pair of numbers whose sum is 43: 1,42 2,41 3,40 and so on, until you find a pair whose difference is 43.
A pair of numbers used to locate a point on a grid?
Ordered pair (s)
What pair of square numbers give a difference of 7?
16 -9
What pair of square numbers give a difference of 32?
big cheese
Find a pair of square numbers which give a difference of 5100?
8464 and 3364
What pair of square numbers give a difference of 84?
The answer to this question can not be answered , many apologies for the inconvenience.
What pair of square numbers give 125?
1
What pair of square numbers makes a difference of 84?
They are: 100-16 = 84
What pair of square numbers give you 74?
They are 25+49 = 74
What two prime numbers will give a difference of one is there another pair?
2 and 3 No other pair.
What 2 prime numbers will give difference of one Is there another pair?
2 and 3 is the only pair.
What pair of square number gives a difference of 115?
The pair of square numbers that gives a difference of 115 is 144 (12^2) and 29 (5^2). This can be represented as 12^2 - 5^2 = 144 - 29 = 115. Thus, the two square numbers are 144 and 29.
What is a pair of square numbers with the difference 7?
A pair of square numbers with a difference of 7 is 9 and 2. Specifically, 3² (which is 9) and 1² (which is 1) satisfy the condition since 9 - 1 = 8. However, the correct pair is actually 16 (4²) and 9 (3²), as 16 - 9 = 7.
What pair of square numbers give the difference of A?
To find a pair of square numbers that give the difference of A, you can express this as ( x^2 - y^2 = A ), where ( x ) and ( y ) are integers. This can be factored into ( (x - y)(x + y) = A ). By determining pairs of factors of A, you can derive possible values for ( x ) and ( y ) using ( x = \frac{(f_1 + f_2)}{2} ) and ( y = \frac{(f_2 - f_1)}{2} ), where ( f_1 ) and ( f_2 ) are the factor pairs.
