Вопрос школьника по предмету Алгебра
решить уравнения 5х+2/х=4х+13/х+4
Ответ учителя по предмету Алгебра
5x+2/x=4x+13/x+4
5x+2/x-4x-13/x=4
x-11/x-4=0
x^2-11-4x=0
x^2-4x+4-15=0
(x-2)^2-15=0
(x-2-«корень»15)*(x-2+»корень»15)=0
1. x-2-«корень»15=0
x=2+»корень»15
2. x-2+»корень»15=0
x=2-«корень»15
Ответ: 2+»корень»15; 2-«корень»15
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