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What two square numbers have a difference of 51?
Oh, what a happy little math question we have here! Let's see, if we take the square root of 51, we find that it's between the square numbers 7 and 8. The square of 8 is 64, and the square of 7 is 49. So, the square numbers that have a difference of 51 are 64 and 49.
What pair of square numbers makes a difference of 80?
Let's denote the two square numbers as x^2 and y^2. The difference between two square numbers can be expressed as (x^2 - y^2), which can be factored into (x + y)(x - y). Since the difference is 80, we have (x + y)(x - y) = 80. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. By testing out different combinations of these factors, we find that the pair of square numbers that make a difference of 80 is 82^2 and 2^2.
What two square numbers have a difference of 40?
Let's denote the two square numbers as ( a^2 ) and ( b^2 ), where ( a ) and ( b ) are positive integers. The difference between these two square numbers can be expressed as ( b^2 - a^2 = 40 ). This can be factored as ( (b + a)(b - a) = 40 ). The factors of 40 are (1, 40), (2, 20), and (4, 10). By solving the system of equations, we find that the two square numbers are 49 and 9, as ( 7^2 - 3^2 = 49 - 9 = 40 ).
The sum of to numbers is 16 Their difference is 8 Find the numbers?
4 and 12
The sum of two numbers is 36 their difference is 24 find the numbers?
12
