(x^2+y^2)(x^2+3+y^2)-54=0 ,x^2+y^2=?

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(x^2+y^2)(x^2+3+y^2)-54=0 ,x^2+y^2=?
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(x^2+y^2)(x^2+3+y^2)-54=0 ,x^2+y^2=?
(x^2+y^2)(x^2+3+y^2)-54=0 ,x^2+y^2=?

(x^2+y^2)(x^2+3+y^2)-54=0 ,x^2+y^2=?
令a=x²+y²
a(a+3)-54=0
a²+3a-54=0
(a+9)(a-6)=0
a=x²+y²≥0
所以a=6
所以x²+y²=6

设x^2+y^2=a a大于等于0
a(a+3)-54=0 a^2+3a-54=0 得a=6或a=-9
a=6

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