Question

(x²+x-2)/(x + 2)= x + 2​

Answer 1

ответ: уравнения на фотографии

Answer 2

To solve the equation (x²+x-2)/(x + 2) = x + 2, you can follow these steps:

1. Start by multiplying both sides of the equation by (x + 2) to eliminate the fraction:

   (x² + x - 2) = (x + 2) * (x + 2)

2. Expand the right side of the equation by using the distributive property:

   (x² + x - 2) = (x + 2)(x + 2) = x(x + 2) + 2(x + 2)

3. Now, simplify the right side of the equation:

   x² + x - 2 = x(x) + x(2) + 2(x) + 2(2)

   x² + x - 2 = x² + 2x + 2x + 4

4. Combine like terms on the right side of the equation:

   x² + x - 2 = x² + 4x + 4

5. Subtract x² from both sides of the equation to get the x terms on one side:

   x² + x - 2 - x² = x² + 4x + 4 - x²

   x - 2 = 4x + 4

6. Next, subtract 4x from both sides of the equation to isolate the x terms:

   x - 4x - 2 = 4x - 4x + 4

   -3x - 2 = 4

7. Now, add 2 to both sides of the equation:

   -3x - 2 + 2 = 4 + 2

   -3x = 6

8. Finally, divide both sides by -3 to solve for x:

   (-3x) / (-3) = 6 / (-3)

   x = -2

So, the solution to the equation is x = -2.