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.