How so I put these in Standard form? Circle, Ellipse or Hyperbola?

Question

I need help putting these into standard form so I can graph them. Also need help figuring out which ones are which:

$$25x^2-16y^2-150x+64y-239=0$$

$$9x^2+4y^2+54x-64y+301=0$$

$$x^2+y^2-6x+8y+3=0$$

Answer 1

Hint: As Hakim suggests, complete the square to get the standard parameters out. Like this (you fill in the question marks):

$$25x^2-16y^2-150x+64y-239 =0 \\ (25x^2 - 150x\;+\;?)-(16y^2-64y\;+\;?) -239\;+\;? =0 \\ 25(x\;+\;?)^2 - 16(y\;+\;?)^2 - 239\;+\;? =0 $$