Question

(x - 3)(4 - x) : (x - 5) = 0​

Answer 1

Ответ:

х=3

х=4

Пошаговое объяснение:

решение в прикреплённых файлах

Answer 2

To solve the equation $(x - 3)(4 - x) / (x - 5) = 0$, we need to find the values of $x$ that make the equation true. To do this, we'll set each factor in the equation equal to 0 and solve for $x$.

First, let's analyze the factors:

1. $x - 3$ is equal to 0 when $x = 3$.
2. $4 - x$ is equal to 0 when $x = 4$.
3. $x - 5$ is equal to 0 when $x = 5$.

Now, let's consider the fraction $(x - 3)(4 - x) / (x - 5)$. Since the numerator is the product of two factors, the numerator will be 0 if either $x - 3$ or $4 - x$ is equal to 0. However, the denominator cannot be 0 because dividing by zero is undefined.

So, the values of $x$ that satisfy the equation are $x = 3$ and $x = 4$.

In summary, the solutions for $x$ that make the equation $(x - 3)(4 - x) / (x - 5) = 0$ true are $x = 3$ and $x = 4$.