9x^2-y^2=0
How do I convert this into the general equation of a hyperbolar? What are the points I graph?
2007-03-12 17:39:39 · 3 answers · asked by lirael1019 1 in Science & Mathematics ➔ Mathematics
The equation 9x² - y² = 0 is the equation of a degenerate hyperbola. It's actually a pair of intersecting straight lines.
9x² - y² = 0
y² = 9x²
y = ±3x
The reason it is degenerate is because the equation equals zero. If it equalled a non-zero constant it would be the equation of a regular hyperbola.
2007-03-12 17:51:00 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋
(9x^2)-(y^2)=0 is not a hyperbola but the pair of straight lines
y=3x and y=-3x
You probably meant (9x^2)-(y^2)=some non zero constant
2007-03-12 17:44:58 · answer #2 · answered by Anonymous · 0⤊ 0⤋
mmm if you say it's a hyperbola, I'll trust you,
the way to convert this equation to a general ecuation is:
(X^2)-[(y^2)/9]=0
2007-03-12 17:52:53 · answer #3 · answered by Herman 4 · 0⤊ 0⤋