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Автор - frolovailia

Пожалуйста, помогите

Ответ

Автор - ruslank1460

1) (4 - x)/(x - 3) = 5 + 1/(x - 3)|·(x - 3), x≠3;

4 - x = 5x - 15 + 1;

-6x = -18;

x = 3 - не удовлетворяет ОДЗ

Ответ: нет решений.

2) 2x² - 5x + 2 = 0;

Замена: х = у/2.

y² - 5y + 4 = 0;

y₁ = 1; y₂ = 4.

Обратная замена:

x₁ = 1/2; x₂ = 2

Ответ: 1/2; 2.

3) x + √(13 - 4x) = 4;

√(13 - 4x) = 4 - x;

13 - 4x = (4 - x)²;

13 - 4x = 16 + x² - 8x;

x² - 8x + 4x + 16 - 13 = 0;

x² - 4x + 3 = 0;

x₁ = 1

x₂ = 3

Ответ: 1; 3.

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