Question 1124977
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Solve the system. 

(x-5)^2 + (y+2)^2 = 6
y= (x-5)^2 - 2 
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Use the second equation to form  {{{(x-5)^2=y+2}}} and make the substitution into the first equation:


{{{(y+2)+(y+2)^2=6}}}
and you should be able to continue from that.