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Mathematics 7 Online
OpenStudy (anonymous):

108(y^2)-(81x)=0

OpenStudy (unklerhaukus):

what can be done to such and equation

OpenStudy (anonymous):

Is it a parabola, elipse, or a hyperbola

OpenStudy (unklerhaukus):

\[108y^2-81x=0\] \[108y^2=81x\] \[\frac{180}{81}y^2=x\]

OpenStudy (unklerhaukus):

well a parabola has one first order variable and one second order one, ie a y and a x^2 or (and as in this case) x and y^2

OpenStudy (unklerhaukus):

an ellipsis (or a circle) would have two variables of second order ; ie x^2 and a y^2

OpenStudy (unklerhaukus):

a hyperbola would have a first order and a minus-first order term of the other variable or a second order variable and the negative of a second order variable ...

OpenStudy (anonymous):

OHHH ok I get it

OpenStudy (unklerhaukus):

do you see how by y being the second order variable in this case that the parabola would be on its side

OpenStudy (anonymous):

yes thank you

OpenStudy (unklerhaukus):

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