Question

Yx³+3x²y²+5xy³+6y⁴=0

Answer 1

Ответ:

Разложим одночлены в сумму нескольких

 

Выносим общий множитель

 

Произведение равно нулю, значит

     

D = b² - 4ac = 2² - 4 * 1 * 2 = -4

D<0, значит уравнение корней не имеет

Answer 2

The equation you've provided is a polynomial equation in two variables, x and y. It represents a curve in the xy-plane. To analyze this equation further, let's try to understand its properties.

The equation you provided is:

Yx³ + 3x²y² + 5xy³ + 6y⁴ = 0

This equation is a quartic equation (a polynomial of degree 4) because the highest exponent of y is 4. The equation contains terms with various powers of x and y, including x³, x²y², xy³, and y⁴.

To study the properties of this equation, we can analyze its factors or try to plot the curve it represents. However, before we proceed, I noticed that the equation is written in an unusual form with "Y" instead of "y". Typically, equations are written using lowercase letters for variables. Can you please confirm if the equation is indeed Yx³ + 3x²y² + 5xy³ + 6y⁴ = 0 or if it should be rewritten with lowercase letters?