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Loither
@Loither
August 2022
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решите уравнение
6/(х+2) + 4/(х-2)=60
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brboss60
Приведем к общему знаменателю
(6×(x-2)+ 4×(x+2)) / ((x+2)×(x-2))=60
Упростим
(6x - 12 + 4x + 8 )/ ((x+2)×(x-2))=60
(10x -4)/( x^2 - 4)=60
10x -4 = 60( x^2 - 4)
10x - 4 = 60x^2 - 240
60x^2 -10x - 236=0
Далее решаем квадратное уравнение
D = 100+ 4×60×236= 56 740
x1= (10 + корень квадратный из 56740)/120
x2= (10 - корень квадратный из 56740)/120
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Answers & Comments
(6×(x-2)+ 4×(x+2)) / ((x+2)×(x-2))=60
Упростим
(6x - 12 + 4x + 8 )/ ((x+2)×(x-2))=60
(10x -4)/( x^2 - 4)=60
10x -4 = 60( x^2 - 4)
10x - 4 = 60x^2 - 240
60x^2 -10x - 236=0
Далее решаем квадратное уравнение
D = 100+ 4×60×236= 56 740
x1= (10 + корень квадратный из 56740)/120
x2= (10 - корень квадратный из 56740)/120