Если возможно с решением. Created by Glasha1. algebra-ru

Если возможно с решением...

Glasha1 @Glasha1

July 2022 1 8 Report

Если возможно с решением

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arsenlevadniy

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$49^z+49^{-z}=7, \\ (7^2)9^z+(7^2)^{-z}=7, \\ 7^{2z}+7^{-2z}=7, \\ (7^z+7^{-z})^2=(7^z)^2+2\cdot7^z\cdot7^{-z}+(7^{-z})^2=7^{2z}+2\cdot7^0+7^{-2z}= \\ =(7^{2z}+7^{-2z})+2\cdot1=7+2=9=3^2, \\ 7^z+7^{-z}=3.$

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