Mathematics · essential

AM-GM equality condition for JEE

Relation between A.M and G.M

Formula

\(\text{AM}=\text{GM}\iff x_1=x_2=\cdots=x_n\)

Variables: \(x_1,x_2,\dots,x_n\): non-negative real numbers.

Conditions: Applicable in standard AM-GM inequality.

Determining equality case in optimization and bound problems.

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