Докажите неравенство 49b2-14bc+2c2+16c+69>0. Created by zlatadmitrieva. algebra-ru

Докажите неравенство 49b2-14bc+2c2+16c+69>0...

zlatadmitrieva @zlatadmitrieva

July 2022 1 4 Report

Докажите неравенство 49b2-14bc+2c2+16c+69>0

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maksimcat

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$49b^2-14bc+2c^2+16c+69=\\ \\ (49b^2-14bc+c^2)+(c^2+16c+64)+5=\\ \\ (7b-c)^2+(c+8)^2+5>0\\ \\ (7b-c)^2\geq 0;(c+8)^2\geq 0;5>0$

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