Question

What conic section is the following equation?
7y^2+28=14x^2

Answer 1

HI :

Answer 2

hi

Answer 3

\(\large 7y^2+28=14x^2\implies
\begin{array}{llll}
7y^2+28&-14x^2=0\\
\uparrow&\uparrow\\
\textit{positive }y^2&\textit{negative }x^2
\end{array}\)

what do you think?

Answer 4

superhyperpola :

Answer 5

\[14x ^{2}-7y ^{2}=28\]
divide by 28
\[\frac{ x ^{2} }{2 }-\frac{ y ^{2} }{ 4 }=1\]
which is of the type \[\frac{ x ^{2} }{a ^{2} }-\frac{ y ^{2} }{b ^{2} }=1\]

which is a hyperbola.

Answer 6

i was thinking hyperbala but im just confused on how you tell the diference

Answer 7

Try putting x = 0 in surjithayer's equation above. Will there be a y-intercept?

Answer 8

\[Here a=\sqrt{2},b=2\]

Answer 9

This hyperbola has x-intercepts and no y-intercept. It is a horizontal hyperbola.

Answer 10

thanks

Answer 11

yw.