Task/26117652
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Первый способ :
(x -2016) / (x - 2017) = (x -2017) / (x -2016) ;
(x -2017 +1) / (x - 2017) = (x -2016 -1) / (x -2016) ;
(x -2017)/ (x - 2017) +1 / (x - 2017) = (x -2016) / (x -2016) -1/ (x -2016) ;
1 + 1/(x -2017) = 1 - 1/(x- 2016) ;
1/(x -2017) = - 1/(x- 2016) ;
x- 2016 = -(x -2017) ;
x- 2016 = - x+2017 ;
x+x = 2017 +2016 ;
2x =2016 +2017 ;
x = (2016 +2017) /2
ответ : x =2016 ,5.
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Второй способ :
(x -2016) / (x - 2017) = (x -2017) / (x -2016) ;
(x -2016)² =(x - 2017)² ;
x² - 2x*2016 +2016² = x² - 2x*2017 +2017² ;
2x *2017 - 2x*2016 = 2017² - 2016² ;
2x(2017 - 2016) =(2017 - 2016)(2017+2016) ;
2x* 1 =1*4033 ;
2x =4033 ;
x =2016,5 .
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Удачи !