Question

Решите уравнение (x+3)(2-x)=0

Answer 1

тут два варианта: 1) или х+3=0, тогда х=-3

или 2) 2-х=0; тогда х=2

Отсюда два корня: 2; -3

Answer 2

To solve the equation $(x+3)(2-x)=0$, we need to find the values of $x$ that make the left-hand side of the equation equal to zero.

This equation is a quadratic equation in factored form, which means it is already factored. To find the solutions, we can set each factor equal to zero and solve for $x$:

1. $x+3=0$
2. $2-x=0$

Now, let's solve for $x$ in each case:

1. $x+3=0$

Subtract 3 from both sides: $x = -3$

2. $2-x=0$

Subtract 2 from both sides: $-x = -2$

Multiply both sides by -1 to isolate $x$: $x = 2$

The solutions to the equation $(x+3)(2-x)=0$ are $x = -3$ and $x = 2$.