toxicsugar22
  • toxicsugar22
9y^2-8x^2+72y+16x+64=0 give the exact coordinates of any four points on the hyperbola
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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myininaya
  • myininaya
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
toxicsugar22
  • toxicsugar22
can u help me put x for 0
myininaya
  • myininaya
x=0 so we have 9y^2+72y+64=0 do you know how to solve this?

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More answers

toxicsugar22
  • toxicsugar22
YES
toxicsugar22
  • toxicsugar22
ITS A quadractic equation
myininaya
  • myininaya
thats right you sound happy lol i think
toxicsugar22
  • toxicsugar22
yes
toxicsugar22
  • toxicsugar22
cant we foil
toxicsugar22
  • toxicsugar22
to make it smaller numbers
myininaya
  • myininaya
i dont think there are any common factors but you see if the polynomial is factorable if you like
anonymous
  • anonymous
hey myininaya can you help me out after with my trapezoidal rule question:)
toxicsugar22
  • toxicsugar22
so how do i do this
toxicsugar22
  • toxicsugar22
u do it and we will compare our answer
toxicsugar22
  • toxicsugar22
ok i got mine
toxicsugar22
  • toxicsugar22
answer
toxicsugar22
  • toxicsugar22
did u get an anser
anonymous
  • anonymous
this is weird i never recall ever learning hyperbola's in high school or college.
toxicsugar22
  • toxicsugar22
myininama are you still there
myininaya
  • myininaya
sorry i was away
myininaya
  • myininaya
\[y=\frac{-72\pm \sqrt{72^2-4*9*64}}{2*9}\]
toxicsugar22
  • toxicsugar22
ok
toxicsugar22
  • toxicsugar22
i got that
toxicsugar22
  • toxicsugar22
and then help me furthur
myininaya
  • myininaya
with simplifying?
toxicsugar22
  • toxicsugar22
yes
toxicsugar22
  • toxicsugar22
please
myininaya
  • myininaya
the bottom is 18 because 2*9=18 i would be 72^2-4*9*64 in my calculator if i were you
toxicsugar22
  • toxicsugar22
ok
anonymous
  • anonymous
exact answer i get is \[y=(-72\pm \sqrt{4968})\div18\]
myininaya
  • myininaya
y=(-72+ sqrt{329472})/18 y=(-72- sqrt{329472})/18
toxicsugar22
  • toxicsugar22
that is te answer
myininaya
  • myininaya
lol hes right i accidently put + between the b^2 and the 4ac
myininaya
  • myininaya
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
anonymous
  • anonymous
ok thanks.
toxicsugar22
  • toxicsugar22
so myininaya how do u go from there
myininaya
  • myininaya
what do you mean?
myininaya
  • myininaya
you can find the other two points now if you want
anonymous
  • anonymous
\[y={-4} \pm \frac{\sqrt{4968}}{18}\]
myininaya
  • myininaya
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
myininaya
  • myininaya
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)
toxicsugar22
  • toxicsugar22
i dont think the last two points are correct
toxicsugar22
  • toxicsugar22
can we simply it
myininaya
  • myininaya
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
myininaya
  • myininaya
i only have this calcutor on computer and i dont like to use it
toxicsugar22
  • toxicsugar22
i got 3888
toxicsugar22
  • toxicsugar22
inm i got 2880
myininaya
  • myininaya
72^2=5184 4*9*64=2304 i mean 64 not 36
anonymous
  • anonymous
myininaya where did you get 36. that's what i mean.
myininaya
  • myininaya
2880
anonymous
  • anonymous
2880 here also
myininaya
  • myininaya
lol that should be under the square root sign not 4 thousand something number
toxicsugar22
  • toxicsugar22
ok thanks i got it
anonymous
  • anonymous
squareroot of 4968 i think
myininaya
  • myininaya
but 72^2-4(9)(36)=2880
myininaya
  • myininaya
i mean 64 not 36

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