SOLUTION: If {{{x+y=2}}} and {{{ x*y=23}}} what is {{{x^2+y^2}}}?

Question 1083617: If and what is ?
Answer by ikleyn(52878) (Show Source): You can put this solution on YOUR website!
.

If x + y = 2 then (squaring both sides)

 = 4.


Subtract 2xy from the left side and subtract the equal value 2*23 = 46 from the right side, and you will get the 


ANSWER:  = 4 - 46 = -42.

Surely, the pair (x,y) is not a pair of real numbers.

They are COMPLEX numbers, instead.

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