Найдите сумму квадратов корней уравнений 21X^2-14X-2=0. Created by az7199. matematika-ru

Найдите сумму квадратов корней уравнений 21X^2-14X-2=0...

az7199 @az7199

July 2022 1 8 Report

Найдите сумму квадратов корней уравнений
21X^2-14X-2=0

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dustInEyes

Verified answer

Д=√196+168=√364
Х1=(14-√364)/42
Х2=(14+√364)/42

Х1²+Х2²=(14-√364)²/1764+(14+√364)²/1764=(196--2√364+364+196+2√364+364)/1764=(196+196+364+364)/1764=1120/1764=560/882=280/441

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