(x + 3)(x + 3) = (x + 2)(x + 2) + 11
x^2 + 6x + 9 = X^2 + 4x + 15
6x + 9 = 4x + 15
2x + 9 = 15
2x = 6
x = 3
Check it.
3 + 3 squared (36) is 11 more than 3 + 2 squared (25)
It checks.
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
3
4
2
2
2
4
4
If you mean: (x+3) squared = (x+2) squared +11 Then the value of x works out as 3
a number equals 2
if it is not this . -3<x<-2 < or equal