Предмет: Алгебра, автор: davletkyzy2006

(x²-2x-5)²-2(x²-2x-5)=3

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Автор ответа: Аноним

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$(x^2-2x-5)^2-2(x^2-2x-5)=3\\(x^2-2x-5)^2-2(x^2-2x-5)-3=0\\t^2-2t-3=0\\t=-1,t=3\\x^2-2x-5=-1,x^2-2x-5=3\\x_{1}=-2,x_{2}=1-\sqrt{5},x_{3}=1+\sqrt{5},x_{4}=4$

davletkyzy2006: можно по понятнее ?я не понимаю

Аноним: переносим константу в левую часть и изменяем ее знак; используем подстановку t; решаем уравнение относительно t; делаем обратную замену, решаем уравнение относительно x

Автор ответа: Evreika77

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