(x²+y²-3)²=16求x²+y²的值
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(x²+y²-3)²=16求x²+y²的值
(x²+y²-3)²=16求x²+y²的值
(x²+y²-3)²=16求x²+y²的值
答:
(x²+y²-3)²=16
x²+y²-3=4或者x²+y²-3=-4
解得:
x²+y²=7或者x²+y²=-1
因为:x²+y²>=0
所以:x²+y²=7
(x²+y²-3)²=16
x²+y²-3=4或x²+y²-3=-4
∴x²+y²=7或x²+y²=-1(舍去)
∴x²+y²=7