Предмет: Алгебра, автор: Roman230898

Запишите сумму корней уравнения √(x²-3x+1)=2

Ответы

Автор ответа: vlatt

Возводим обе части в квадрат.
Получаем

x²-3x+1=4;
x²-3x-3=0

По теореме Виета сумма корней квадратного уравнения равна коэффициенту b, взятому с обратным знаком.

Ответ: x1+x2=3.

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