Question

2) (2x+1)²- (2x – 3)² = 4 (7x – 5)​

Answer 1

Ответ:

х=1

Пошаговое объяснение:

Answer 2

To solve the equation (2x+1)² - (2x - 3)² = 4(7x - 5), we can start by expanding the squares and then simplifying the equation step by step.

First, let's expand the squares: (2x + 1)² = (2x + 1)(2x + 1) = 4x² + 4x + 1

(2x - 3)² = (2x - 3)(2x - 3) = 4x² - 12x + 9

Now, the equation becomes: (4x² + 4x + 1) - (4x² - 12x + 9) = 4(7x - 5)

Next, let's simplify the equation by combining like terms on both sides:

4x² + 4x + 1 - 4x² + 12x - 9 = 28x - 20

Now, continue to simplify:

(4x² - 4x²) + (4x + 12x) + (1 - 9) = 28x - 20

0 + 16x - 8 = 28x - 20

Now, let's isolate the variable x by moving terms around:

16x - 8 - 16x = 28x - 20 - 16x

-8 = 12x - 20

Now, add 20 to both sides:

-8 + 20 = 12x - 20 + 20

12 = 12x

Now, divide both sides by 12 to solve for x:

12/12 = (12x)/12

1 = x

So, the solution to the equation (2x+1)² - (2x - 3)² = 4(7x - 5) is x = 1.