Предмет: Алгебра, автор: nobody1056

составьте квадратное уравнение корни которого равны 5 и -2

Ответы

Автор ответа: dobra888

1

Відповідь: x² - 3x - 10 = 0 .

Пояснення:

x₁ = 5 ; x₂ = - 2 .Скористаємося теоремою , оберненою до Т. Вієта :

{ x₁ + x₂ = 5 + (- 2 ) = 3 ;

{ x₁ * x₂ = 5 * (- 2 ) = - 10 ; --------> x² - 3x - 10 = 0 .

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