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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?
Wiki User
∙ 2010-04-13 18:10:29
(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.
Wiki User
∙ 2010-04-13 18:10:29
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When the sum of a number plus 3 is squared it is more than 11 more than the sum of the number plus 2 when squared?
If you mean: (x+3) squared = (x+2) squared +11 Then the value of x works out as 3
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The original number is 10 because: 10 squared = 10+90
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