Question

решите уравнение заменой $5-\frac{x}{2} =\frac{2}{x}$

Answer 1

Ответ:

$5-\frac{x}2} =\frac{2}{x} \\\\x(5-\frac{x}{2} )=2\\\\5x-\frac{x^{2} }{2} =2\\\\x^{2} -10x=-4\\\\x^{2} -10x+25=21\\\\(x-5)^{2} =21\\\\x-5=\sqrt{21} ; x-5=-\sqrt{21} \\\\x= 5+\sqrt{21} ; x=5-\sqrt{21}$