Главная
/
Математика
/
(12)/(x-2)+(0,5)/(1)-(15)/(x)=0

Вопрос

(12)/(x-2)+(0,5)/(1)-(15)/(x)=0

Решения

4.4 (191 Голоса)
Цветана
Экспертная проверка
эксперт · Репетитор 3 лет

Ответ

To solve the equation , we need to find a common denominator for the fractions. The common denominator for , , and is \( (x-2) \cdot x \cdot 1 \).Rewriting the equation with the common denominator, we get: Now, we can combine the fractions: Since the denominator cannot be zero, we can multiply both sides of the equation by \( (x-2)x \) to eliminate the denominator: Expanding and simplifying the equation, we get: Combining like terms, we have: To solve this quadratic equation, we can use the quadratic formula: In this case, , , and . Plugging these values into the quadratic formula, we get: Since the discriminant ( ) is negative, there are no real solutions for this equation. Therefore, the equation has no real solutions.