Question

2) (4x - 7)² - (2x + 17)² = 0.​

Answer 1

Ответ:

Смотри решение на фото

Answer 2

To solve the equation (4x - 7)² - (2x + 17)² = 0, we'll first factor it using the difference of squares formula:

a² - b² = (a + b)(a - b)

In this case, let's set:

a = 4x - 7 b = 2x + 17

Now, we'll rewrite the equation:

(4x - 7 + 2x + 17)(4x - 7 - 2x - 17) = 0

Simplifying the expressions inside the parentheses:

(6x + 10)(2x - 24) = 0

Now, we'll set each factor equal to zero and solve for x:

1. 6x + 10 = 0 6x = -10 x = -5/3

2. 2x - 24 = 0 2x = 24 x = 12

So, the solutions to the equation are x = -5/3 and x = 12.