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Verified Answer :

Ryan2

\((2+7i)(2-7i)=4-14i+14i-49i^2\\ \\ 4+49=53\)

\((2+7i)(2-7i)=2^2-(7i)^2=4-49\vfot(-1)=4+49=53\\\\-------------------------------\\i=\sqrt{-1}\\\\i^2=-1\)