Question

Решить уравнение (х-3)^2+(3-х)(х+3)=(х+2)^2-х^2 ПОЖАЛУЙСТА!

Answer 1

Ответ : -1,4. решение на фотографии

Answer 2

Solving the Equation

To solve the equation (x-3)^2 + (3-x)(x+3) = (x+2)^2 - x^2, we can follow these steps:

1. Expand and simplify the equation. 2. Solve for the value of x.

Step 1: Expand and Simplify the Equation

Expanding the terms in the equation gives us: (x^2 - 6x + 9) + (3x - x^2 + 9) = (x^2 + 4x + 4) - x^2

Simplifying further: -6x + 9 + 3x + 9 = 4x + 4 - x^2

Combining like terms: 6x + 18 = 4x + 4 - x^2

Step 2: Solve for the Value of x

Rearranging the equation: 6x + 18 = 4x + 4 - x^2 2x + 14 = -x^2

Bringing all terms to one side: x^2 + 2x + 14 = 0

Now, we can use the quadratic formula to solve for x: x = (-b ± √(b^2 - 4ac)) / (2a)

Where a = 1, b = 2, and c = 14.

Using the quadratic formula, we find: x = (-2 ± √(2^2 - 4*1*14)) / (2*1) x = (-2 ± √(-52)) / 2 x = (-2 ± 2i√13) / 2 x = -1 ± i√13

So, the solutions for the equation are: x = -1 + i√13 and x = -1 - i√13.

These are the complex solutions to the given equation.