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

Question

asked Sep 27, 2024 151k views

1 Answer

Kherel · Answer 1 · 2024-10-03T19:35:06+0000

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

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.