36/(a^2)-8/(b^2)=1 a^2+b^2=16 求a^2,b^2
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36/(a^2)-8/(b^2)=1 a^2+b^2=16 求a^2,b^2
36/(a^2)-8/(b^2)=1 a^2+b^2=16 求a^2,b^2
36/(a^2)-8/(b^2)=1 a^2+b^2=16 求a^2,b^2
36/(a^2)-8/(b^2)=1 等式两边同乘以a^2*b^2
36b^2-8a^2=a^2*b^2 (1)
a^2+b^2=16 (2) b^2=16-a^2 代入:(1)
36(16-a^2)-8a^2=a^2*(16-a^2)
576-36a^2-8a^2-16a^2+a^4=0
a^4-60a^2+576=0
(a^2-48)(a^2-12)=0
a^2=48,b^2=16-a^2=16-48