Question

Решите уравнение (x – 3)(2x – 5)(3x + 1) = 0

Answer 1

х-3=0

х=3

2х-5=0

2х=5

х=5/2

х=2,5

3х+1=0

3х=-1

х=-1/3

ответ: -1/3; 2,5; 3.

Answer 2

To solve the equation $(x - 3)(2x - 5)(3x + 1) = 0$, we need to find the values of $x$ that make the whole expression equal to zero. This can happen if any of the three factors $(x - 3)$, $(2x - 5)$, or $(3x + 1)$ is equal to zero. So, we set each factor to zero and solve for $x$ in each case:

1. Setting $x - 3 = 0$: $x = 3$

2. Setting $2x - 5 = 0$: $2x = 5 \implies x = \frac{5}{2} = 2.5$

3. Setting $3x + 1 = 0$: $3x = -1 \implies x = \frac{-1}{3}$

Therefore, the solutions to the equation are $x = 3$, $x = 2.5$, and $x = -\frac{1}{3}$.