Call the number "n". Then, from the problem statement, n2 = 25 + n, or, in standard form, n2 - n - 25 = 0. Use the quadratic formula to find an exact answer with radicals. An approximate answer is 5.52437811. There is also a negative answer: - 4.52437811.
Check: 5.5249378112 = 30.52493782, which is reasonably close.
The original number is 10 because: 10 squared = 10+90
When the sum of a number plus 3 is squared, it is 11 more than the sum of the number plus 2 when squared.
2 x n(squared) + 2
More. 4 squared = 16 4.1 squared = 16.81 any number greater than 4 when squared is larger
If you mean: (x+3) squared = (x+2) squared +11 Then the value of x works out as 3
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