Question

Уравнениe (2x+3)^2=(2x+5)(2x-5)-2

Answer 1

Ответ:

-3

Объяснение:

В левой части расписываем квадрат разности, в правой разность квадратов, а дальше стандартное линейное уравнение

Answer 2

To solve the equation (2x + 3)^2 = (2x + 5)(2x - 5) - 2, we'll start by expanding both sides and simplifying the expression:

Expanding the left side: (2x + 3)^2 = (2x + 3)(2x + 3) = 4x^2 + 6x + 6x + 9 = 4x^2 + 12x + 9

Expanding the right side: (2x + 5)(2x - 5) - 2 = (4x^2 - 25) - 2 = 4x^2 - 25 - 2 = 4x^2 - 27

Now, we can rewrite the equation as: 4x^2 + 12x + 9 = 4x^2 - 27

By subtracting 4x^2 from both sides, we get: 12x + 9 = -27

Next, we subtract 9 from both sides: 12x = -27 - 9 12x = -36

Finally, we divide both sides by 12: x = -36/12 x = -3

Therefore, the solution to the equation (2x + 3)^2 = (2x + 5)(2x - 5) - 2 is x = -3.