Question

(х^2+4х+3)^2=(7х^2+2х+3)^2 решите пожалуйста квадратное уравнениеребят, пожалуйста, очень надо

Answer 1

Решение приведено в файле

Answer 2

Solving the Quadratic Equation

To solve the quadratic equation (x^2 + 4x + 3)^2 = (7x^2 + 2x + 3)^2, we can start by expanding both sides of the equation and then simplifying to find the value of x.

Expanding the left side: ``` (x^2 + 4x + 3)^2 = x^4 + 8x^3 + 22x^2 + 24x + 9 ```

Expanding the right side: ``` (7x^2 + 2x + 3)^2 = 49x^4 + 28x^3 + 58x^2 + 12x + 9 ```

Now, we can set the expanded expressions equal to each other: ``` x^4 + 8x^3 + 22x^2 + 24x + 9 = 49x^4 + 28x^3 + 58x^2 + 12x + 9 ```

Subtracting the right side from the left side: ``` 0 = 48x^4 + 20x^3 + 36x^2 - 12x ```

Solving for x

To solve for x, we can factor out common terms: ``` 0 = 4x(12x^3 + 5x^2 + 9x - 3) ```

Now, we have two possible solutions: 1. x = 0 2. Solve the quadratic equation 12x^3 + 5x^2 + 9x - 3 = 0 to find the other potential solutions.

Unfortunately, the cubic equation 12x^3 + 5x^2 + 9x - 3 = 0 does not have simple solutions using standard algebraic methods. It may require numerical methods or advanced techniques to find the exact solutions.

If you need further assistance with solving the cubic equation, feel free to ask!