Question

R) (2x - 3)² - 9 = 0;​

Answer 1

Ответ:

0; 3

Объяснение:

(2x-3)²-9=0

(2x-3)²=9

2x-3=3   или  2x-3=-3

2x=6      или  2x=0

x=3        или   x=0

Answer 2

To solve the given equation $(2x - 3)^2 - 9 = 0$, you can start by simplifying the equation and then solving for $x$. Here's how you can do it step by step:

1. Expand the square $(2x - 3)^2$:

$(2x - 3)^2 = (2x - 3)(2x - 3) = 4x^2 - 12x + 9$

So, the given equation becomes:

$4x^2 - 12x + 9 - 9 = 0$

2. Simplify the equation:

$4x^2 - 12x = 0$

3. Factor out the common factor, which is $4x$:

$4x(x - 3) = 0$

Now, you have two possible solutions:

1. $4x = 0$ $x = 0$

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

So, the solutions to the given equation are $x = 0$ and $x = 3$.