Question

Как выразить y через х: х^2y+y=2

Answer 1

Х=(²у)√(2-у)
 двуигрековый корень из (2-у)

Answer 2

Solving the Equation y in terms of x

To express y in terms of x for the equation x^2y + y = 2, we can follow these steps:

1. Factor out y from the equation. 2. Solve for y in terms of x.

Let's proceed with the solution.

Step 1: Factor out y from the equation

The given equation is x^2y + y = 2. We can factor out y from this equation as follows:

y(x^2 + 1) = 2

Step 2: Solve for y in terms of x

To solve for y in terms of x, we can divide both sides of the equation by (x^2 + 1):

y = 2 / (x^2 + 1)

So, the expression for y in terms of x is y = 2 / (x^2 + 1).

This is the solution for expressing y in terms of x for the given equation.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.