pleasee help!!! ''identify the graph of the equation 2x^2+9xy+14y^2-5=0. then find θ''

Question

pleasee help!!! ''identify the graph of the equation 2x^2+9xy+14y^2-5=0. then find  θ''

anonymous · Answer

@precal do you know how to do this??

precal · Answer

you are looking for theta?

precal · Answer

this looks like a conic

anonymous · Answer

@jdoe0001 do u know how to do this?

precal · Answer

not sure why you need theta?  What course is this for?

anonymous · Answer

precal

anonymous · Answer

the formula im suppose to use is tan2theta=b/a-c

anonymous · Answer

ive done this so far:

tan2θ=9/2-14
tan2θ=-0.75
don't know what to do after that..:(

precal · Answer

you said this is an ellipse, correct

anonymous · Answer

yeaah

precal · Answer

$$\tan^2 \theta  $$

precal · Answer

is that correct

anonymous · Answer

the answer is  θ=-18 degrees

precal · Answer

precal · Answer

hope that helps.  I have never looked for the angle of rotation before so I am unable to help you sorry

anonymous · Answer

ok thanks anyway :)

precal · Answer

just sub your solution into your equation and you should be able to see if it works at all. Don't forget your even and odd identities