Найдите произведение корней уравнения: x-2/x-4 = 8-x /1. Created by sabinashva99. algebra-ru

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sedinalana

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(x-2)/(x-4)=(8-x)/1
x-2=8x-x²-32+4x
x²-11x+30=0
xD=121-120=1>0⇒x1*x2=30

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Асик777Асик

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ОДЗ: х≠4.
$\frac{x-2}{x-4}= \frac{8-x}{1}\\(x-4)(8-x)=x-2\\8x-x^2-32+4x=x-2\\-x^2+11x-30=0\\x^2-11x+30=0\\x_1*x_2=30$
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