Question

How do you write the hyperbola `36x^2-9y^2=324` in standard form?

Answer 1

`x^2/9-y^2/36=1`

Explanation:

`36x^2-9y^2=324`

need eqn. in form

`x^2/a-y^2/b=1`

divide both sides by 342

`(36x^2)/324-(9y^2)/324=1`

cancel down

`x^2/9-y^2/36=1`