Best Answer

(x + 3)2 = 11 + (x + 2)2

x2 + 6x + 9 = 11 + x2 + 4x + 4

6x - 4x = 11 + 4 - 9

2x = 6

x = 3

Check: (3 + 3)2 = 11 + (3 + 2)2 ? ie 36 = 11 + 25 ? Yes. There you have it.

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Q: When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus 2 when squared What is the number?

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