Given that real numbers x, y, Z satisfy X-Y = 8, XY + Z2 = - 16, then x + y + Z=______ ． | Math enthusiast | Mathematical art

Given that real numbers x, y, Z satisfy X-Y = 8, XY + Z2 = - 16, then x + y + Z=______ ．

According to the meaning of the question, we can get X-Y = 8, ① XY + Z2 = - 16, ② y = X-8 from ①, ③ Z2 = - 16 XY from ②, and ④ substitute ③ into ④ to get & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp

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