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2014-07-03T17:57:17+08:00

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Let x and y be the two numbers

 x^{2} + y^2 = 58
               (1)

 x^{2} - y^2 = 40                (2)



x^{2} + y^2 = 58 

\underline{x^{2} - y^2 = 40}

2 x^{2} = 98

 x^{2} = 49

x = 7 ; x=-7

Substituting this to (1) or (2) will give us 

y=3  ;  y=-3


x = ±7
y = ±3
0
The sign doesn't really matter because they will be squared anyway, so their squares will always be positive