Question

(x+6y)2=7y (x+6y)2=7x Решите систему уравнений

Answer 1

1) 0 2) 0 как то так

Answer 2

System of Equations

To solve the system of equations (x+6y)^2 = 7y and (x+6y)^2 = 7x, we can start by simplifying the equations.

Simplifying the Equations

Let's simplify the equations step by step:

Equation 1: (x+6y)^2 = 7y Expanding the square, we get: x^2 + 12xy + 36y^2 = 7y.

Equation 2: (x+6y)^2 = 7x Expanding the square, we get: x^2 + 12xy + 36y^2 = 7x.

Combining the Equations

Since both equations have the same expression on the left side, we can set them equal to each other:

x^2 + 12xy + 36y^2 = 7y = 7x.

Solving the Equation

To solve this equation, we can rearrange it to bring all the terms to one side:

x^2 + 12xy + 36y^2 - 7x - 7y = 0.

Now, we can try to factor or simplify the equation further to find the solutions. However, the given equation is not easily factorable or simplifiable.

To find the solutions, we can use numerical methods or a graphing calculator. Unfortunately, without additional information or constraints, it is not possible to determine the exact solutions to this equation.

If you have any additional information or constraints, please provide them, and I will be happy to assist you further.

Let me know if there's anything else I can help you with!