сократить дробь 5x в квадрате-3x-2/5xy+2y-10x-4. Created by Slavasp99. algebra-ru

5xy+2y-10x-4...

Slavasp99 @Slavasp99

July 2022 1 24 Report

сократить дробь 5x в квадрате-3x-2/5xy+2y-10x-4

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$\frac{5x^2-3x-2}{5xy+2y-10x-4}= \frac{(x-1)(5x+2)}{(5x+2)(y-2)} = \frac{x-1}{y-2} \\\\5x^2-3x-2=5(x-1)(x+0,4)=(x-1)(5x+2)\\D=(-3)^2-4*5*(-2)=9+40 =49=7^2\\x_1=(3+7)/10=1\\x_2=(3-7)/10=-4/10=-0,4\\\\5xy+2y-10x-4=y(5x+2)-2(5x+2)=(5x+2)(y-2)$

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