7 кл решите уравнения -2x(2x01)(3x+2)=0 0,5x^2-x=0. Created by Cyrtgxdgfy. algebra-ru

7 кл решите уравнения -2x(2x01)(3x+2)=0 0,5x^2-x=0...

Cyrtgxdgfy @Cyrtgxdgfy

July 2022 1 20 Report

7 кл решите уравнения
-2x(2x01)(3x+2)=0
0,5x^2-x=0

Answers & Comments

sebrithien

Verified answer

$\displaystyle \tt -2x(2x-1)(3x+2)=0 \: \: \: \: \: | \div (-2)\\\displaystyle \tt x(2x-1)(3x+2)=0\\\displaystyle \tt \bold{x_1=0}\\\displaystyle \tt 2x-1=0\\\displaystyle \tt 2x=1\\\displaystyle \tt x=1\div2\\\displaystyle \tt \bold{x_2=0,5}\\\displaystyle \tt 3x+2=0\\\displaystyle \tt 3x=-2\\\displaystyle \tt \bold{x_3=-\frac{2}{3}}$

$\displaystyle \tt 0,5x^2-x=0 \: \: \: \: \: | \div 0,5\\\displaystyle \tt x^2-2x=0\\\displaystyle \tt x(x-2)=0\\\displaystyle \tt \bold{x_1=0}\\\displaystyle \tt x-2=0\\\displaystyle \tt \bold{x_2=2}$

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