For non-zero a,b,c show also that equality holds if and only if . How can I show this?
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Originally Posted by dwsmith For non-zero a,b,c show also that equality holds if and only if . That "only if" part is not true. . If .
Originally Posted by dwsmith For non-zero a,b,c show also that equality holds if and only if . How can I show this? (Using AM-GM inequality three times) Adding, Each of the AM-GM inequalities becomes an equality if and only if , , ie , , ie