Question

write the standard equation: 2x^2+2y^2+4x-28y+86=0

Answer 1

step by step-ish please :)

Answer 2

Here you need to isolate y on one side of the equation. Start by bringing all values of y over to one side of the equation. When you do, it will look like this:

\[2y ^{2}-28y = -2x ^{2}-4x-86\]

Answer 3

Also, I would divide everything by 2 to make it easier because all the numbers are even. After you do that, you can factor out a y on the left side, it will look like this:

\[y(y-14) = -x ^{2}-2x-43\]

Answer 4

At this point, divide by y - 14 on both sides to isolate y.

Answer 5

And that's as close as you can get.

Answer 6

Often in advanced math you won't be able to isolate a variable completely unless you have a system of equations, which you don't.

Answer 7

this is algebra 2... lol its asking me to write the standard equation and classify the conic section... i have the final equation and circle...