Question

(4x-5)(4x+5)-(4x-1)^2=9-2x

Answer 1

Ответ:

16х^2-25-(16х^28х+1)-9+2х=0

15х^2-12-16х^2+8х-1-9+2х=0

10х=35

х=3,5

Answer 2

Let's solve the given equation step by step:

Given equation:

(4x - 5)(4x + 5) - (4x - 1)^2 = 9 - 2x

1. Expand the expressions:

(16x^2 - 25) - (16x^2 - 8x + 1) = 9 - 2x

2. Distribute the negative sign:

16x^2 - 25 - 16x^2 + 8x - 1 = 9 - 2x

3. Simplify:

-25 + 8x - 1 = 9 - 2x

4. Combine like terms:

7x - 26 = 9 - 2x

5. Add 2x to both sides:

7x + 2x - 26 = 9

7x + 2x = 9 + 26

9x = 35

6. Divide by 9:

x = 35 / 9

So, the solution to the equation is:

x = 35 / 9