9y^2-8x^2+72y+16x+64=0 give the exact coordinates of any four points on the hyperbola

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9y^2-8x^2+72y+16x+64=0 give the exact coordinates of any four points on the hyperbola

Mathematics
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let x=0 solve for y let y=0 solve for x you should get two solutions for each time so that is 4 solutions
can u help me put x for 0
x=0 so we have 9y^2+72y+64=0 do you know how to solve this?

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Other answers:

YES
ITS A quadractic equation
thats right you sound happy lol i think
yes
cant we foil
to make it smaller numbers
i dont think there are any common factors but you see if the polynomial is factorable if you like
hey myininaya can you help me out after with my trapezoidal rule question:)
so how do i do this
u do it and we will compare our answer
ok i got mine
answer
did u get an anser
this is weird i never recall ever learning hyperbola's in high school or college.
myininama are you still there
sorry i was away
\[y=\frac{-72\pm \sqrt{72^2-4*9*64}}{2*9}\]
ok
i got that
and then help me furthur
with simplifying?
yes
please
the bottom is 18 because 2*9=18 i would be 72^2-4*9*64 in my calculator if i were you
ok
exact answer i get is \[y=(-72\pm \sqrt{4968})\div18\]
y=(-72+ sqrt{329472})/18 y=(-72- sqrt{329472})/18
that is te answer
lol hes right i accidently put + between the b^2 and the 4ac
hey beehive if you want your fractions to look cooler you can use frac{5}{7} and this will give you 5/7 in the equation editor if you want
ok thanks.
so myininaya how do u go from there
what do you mean?
you can find the other two points now if you want
\[y={-4} \pm \frac{\sqrt{4968}}{18}\]
we already let x be 0 now lets let y be 0 and we will stil get a quadratic like -8x^2+16x+64=0
divide both sides by -8 so we have x^2-2x-8=0 (x-4)(x+2)=0 x=4 and x=-2 so our four coordinates are (4,0), (-2,0), (0,-4+sqrt(4968)/18),(0,-4-sqrt(4968)/18)
i dont think the last two points are correct
can we simply it
what did you get when u did 72^2-4(9)(36) i dont have my calculator if it is 4968 then those are corret above
i only have this calcutor on computer and i dont like to use it
i got 3888
inm i got 2880
72^2=5184 4*9*64=2304 i mean 64 not 36
myininaya where did you get 36. that's what i mean.
2880
2880 here also
lol that should be under the square root sign not 4 thousand something number
ok thanks i got it
squareroot of 4968 i think
but 72^2-4(9)(36)=2880
i mean 64 not 36

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