what kind of graph is (x^2/49) - (y^2/64) = 1
circle, elispes, hyperbola, perabola?

Question

what kind of graph is (x^2/49) - (y^2/64) = 1
circle, elispes, hyperbola, perabola?

campbell_st · Answer

looks like the equation of an ellipse to me...

anonymous · Answer

how would i go about solving it? rather, graphing it?

campbell_st · Answer

oops its a hyperbola... I misread it

so 

$$(x/7)^2 - (y/8)^2 = 1^2$$

anonymous · Answer

explain please...i want to know too

anonymous · Answer

i think i understand it now, 7 is a and -a,0 and a, 0 are your vertex
and 8 = b and 0, -b and 0,b is your co vertices

mani_jha · Answer

When the power of one of the variables is 1 and the other is 2, it is surely a parabola. If the powers are both 2, then it can be either a circle, ellipse or hyperbola.
If the coefficient of x^2 and y^2 are same, it is a circle. If they are different, it can be either an ellipse or a hyperbola.(Here the coefficents are different, 1/49 and 1/64)
Now, if the two x^2 and y^2 terms are connected by a +sign, it is a ellipse, and if they are connected by a - sign, then it is a hyperbola.