Question

Given: 16x^2 + 25y^2 - 96x - 200y + 144 = 0. Write the standard form of the ellipse.

1) Find the center

2) Find the foci

3) Find the vertices

Answer 1

complete the square a couple times

Answer 2

demo plz?

Answer 3

\[5x^2+20x+10\]

\[5(x^2+4x+2)\]

\[5(x^2+4x+4-4+2)\]
\[5((x^2+4x+4)+(-4+2))\]
\[5((x+2)^2-2)\]

\[5(x+2)^2-10\]

Answer 4

break up your problem into the x part and the y part

\[16x^2 + 25y^2 - 96x - 200y + 144 = 0\]

\[(16x^2 - 96x) + (25y^2 - 200y) + 144 = 0\]


complete the square on those two parts