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

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

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

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

John
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thxll
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    Do you know how to complete the square? – Hakim Dec 11 '14 at 22:46
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    So .. can over-eager solvers wait for thxll to return and respond to Hakim? – GEdgar Dec 11 '14 at 22:52
  • Hakim's right. But I just want to point out that the first thing you should look for in these types of problems is if the quadratic is slanted. You'll be able to tell it is if there appear any $xy$ terms. There aren't any here, but The More You Know $\star$ –  Dec 11 '14 at 23:16

1 Answers1

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

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

John
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