Question

√(x^2+4x+4) - √(x^2-12x+36)= 8

Answer 1

Ответ:

вот, держи, думаю понятно

Answer 2

To solve the equation √(x^2 + 4x + 4) - √(x^2 - 12x + 36) = 8, we need to isolate the variable x. Here's the step-by-step process:

Step 1: Simplify the square roots √(x^2 + 4x + 4) can be simplified to (x + 2), and √(x^2 - 12x + 36) can be simplified to (x - 6). So the equation becomes: (x + 2) - (x - 6) = 8

Step 2: Combine like terms Simplify the expression further: x + 2 - x + 6 = 8

Step 3: Simplify again Combine like terms: 8 = 8

At this point, we see that the equation 8 = 8 is true. This means that the equation is an identity, and it holds true for any value of x. In other words, there are infinitely many solutions to this equation. Therefore, the solution set is all real numbers, or in interval notation: (-∞, +∞).