the " difference ".
The two square numbers that, when one is subtracted from the other, equal seven are 16 and 9. This is because (4^2 - 3^2 = 16 - 9 = 7). Thus, the square numbers are 16 (from (4^2)) and 9 (from (3^2)).
22 and 12
20
Let the two square numbers be ( a^2 ) and ( b^2 ), where ( a^2 - b^2 = 21 ). This can be factored as ( (a-b)(a+b) = 21 ). The pairs of factors of 21 are (1, 21) and (3, 7). Solving these gives the pairs ( (11, 10) ) or ( (5, 4) ), leading to the square numbers ( 121 ) and ( 100 ) or ( 25 ) and ( 16 ). Thus, the two square numbers can be ( 121 ) and ( 100 ) or ( 25 ) and ( 16 ).
They are: 36-1 = 35
They are 25 minus 16 = 9
289 - 256 = 33
7 squared and 3 squared. 49 - 9 = 40
They are 16 and 9
5 and 4
the " difference ".
the difference
The number is two
-33
20
22 and 12