SOLUTION: When the sum of a number plus 3 is squared, it is 9 more than the sum of the number plus 2 when squared.

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Question 774679: When the sum of a number plus 3 is squared, it is 9 more than the sum of the number plus 2 when squared.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of a number plus 3 is squared:
Let N be the number.
%28N%2B3%29%5E2

9 more than the sum of the number plus 2 when squared:
%289%2B%28N%2B2%29%29%5E2

When the first expression is the second expression:
%28N%2B3%29%5E2=%289%2B%28N%2B2%29%29%5E2

Simplify and finally obtain the quadratic equation in N which will ultimately be a LINEAR equation.

As best understood, N=-12%261%2F3, but your second expression description is somewhat unclear.


NOTE: If you mean in the second expression's description, 9+(N+2)^2, then you would find N=2.