30 баллов! Помогите решить по алгебре 2-6 задание . Created by EvgeshaSmirnov. algebra-ru

30 баллов! Помогите решить по алгебре 2-6 задание ...

EvgeshaSmirnov @EvgeshaSmirnov

March 2022 1 10 Report

30 баллов! Помогите решить по алгебре 2-6 задание

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$2)\ \ \sqrt{0,64}=0,8\\\\3)\ \ \sqrt{36\cdot 100\cdot 49}=6\cdot 10\cdot 7=420\\\\4)\ \ \sqrt{1\dfrac{9}{16}}=\sqrt{\dfrac{25}{16}}=\dfrac{5}{4}\\\\5)\ \ 2x^2+x-6=0\ \ \Rightarrow \ \ \ \underline{x_1+x_2=-\dfrac{1}{2}\ }\ \ \ (teorema\ Vieta)\ \ ,\\\\D=49\ ,\ \ x_1=-2\ ,\ x_2=1,5\\\\\underline{\ x_1-x_2=-2-1,5=-3,5\ }$

$6)\ \ 4x^2+2x-12=0\ \ ,\ \ 2x^2+x-6=0\ \ ,\ \ D=49\ ,\ x_1=-2\ ,\ x_2=1,5\\\\b)\ \ \sqrt{x^2-4}=4\ \ ,\ \ x^2-4=16\ \ ,\ \ x^2=20\ \ ,\ \ x=\pm 2\sqrt5\\\\c)\ \ (x-3)(x-2)=90\ \ ,\ \ x^2-5x-84=0\ \ ,\ \ D=361\ ,\\\\x_{1,2}=\dfrac{5\pm 19}{2}\ \ ,\ \ x_1=-7\ ,\ \ x_2=12$

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