Question

2x²-3ху+y²=0это нужно решить как симметричный многочлен ПОМОГИТЕ ПОЖАЛУЙСТА​

Answer 1

Ответ:

Все что и как делать у фото

Answer 2

Solving the Symmetric Polynomial Equation

To solve the equation 2x² - 3xy + y² = 0 as a symmetric polynomial, we can use a substitution method to simplify the equation and then solve for the variables.

First, let's rewrite the equation in terms of a new variable, u, and v, where: - u = x + y - v = x - y

By substituting these values, we can transform the given equation into a simpler form.

Substitution and Simplification

We can express x and y in terms of u and v as follows: - x = (u + v) / 2 - y = (u - v) / 2

Substituting these expressions into the original equation, we get: 2((u + v)/2)² - 3((u + v)/2)((u - v)/2) + ((u - v)/2)² = 0

Simplifying this equation will lead to a new equation in terms of u and v.

Simplified Equation

After simplifying the equation, we get: u² - 2v² = 0

This equation is now in terms of the new variables u and v.

Solving for Variables

To solve for u and v, we can treat the equation as a quadratic equation in terms of u, and then solve for u. Once we have the value of u, we can substitute it back into the equation to solve for v.

The solutions for u and v will provide the values for x and y, which satisfy the original equation 2x² - 3xy + y² = 0.

I hope this helps! Let me know if you need further assistance.