Question

-1-((2 x-2 y)/(x²+y²+1))=0 in the form of the standard ellipse equation

Answer 1

The given equation can be rearranged to the standard form of the ellipse equation.

Step-by-step explanation:

The given equation can be rearranged to the standard form of the ellipse equation by multiplying both sides by the denominator:

-1(x²+y²+1) + 2x(x-2y) = 0

Expanding and rearranging terms:

-x²-y²-x+4xy=0

Now we can see that the equation is:

x² - 4xy + y² + x - 1 = 0

Thus, the equation is in the standard form of the ellipse equation.