如何化简?如题.

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如何化简?如题.如何化简?如题.如何化简?如题.两边同除以S:1/(u-v)+1/(u+v)=1/v(u+v)/[(u-v)(u+v)]+(u-v)/[(u+v)(u-v)]=1/v2u/(u^2-v

如何化简?如题.
如何化简?如题.

如何化简?如题.
两边同除以S:
1/(u-v)+1/(u+v)=1/v
(u+v)/[(u-v)(u+v)]+(u-v)/[(u+v)(u-v)]=1/v
2u/(u^2-v^2)=1/v
u^2-v^2=2uv
u^2-2uv+v^2=2v^2
(u-v)^2=2v^2
两边开方:
u-v=(根号2)v,【负值舍去】
u=v+(根号2)v=[1+(根号2)]v