7 or -8
72+7 = 56
(-8)2+(-8) = 56
You can solve this using some simple algebra.
Let x be the number you are looking for.
x2 +x-56-0
This can be factored as:
(x-7)(x+8)=0
Now use the zero property that says if AB=0, A=0 or B=0 (or both)
So x-7=0 and x=7 or
x+8=0 and x=-8
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89
If by area you mean X*Y it would be -49 (or 49, if you assume area to be positive). (X=7, Y=-7) when X+Y^2=56 and X+Y=0.
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