Question

9y^2-8x^2+72y+16x+64=0

give the exact coordinates of any four points on the hyperbola

Answer 1

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

Answer 2

can u help me put x for 0

Answer 3

x=0
so we have
9y^2+72y+64=0
do you know how to solve this?

Answer 4

YES

Answer 5

ITS A quadractic equation

Answer 6

thats right you sound happy lol i think

Answer 7

yes

Answer 8

cant we foil

Answer 9

to make it smaller numbers

Answer 10

i dont think there are any common factors but you see if the polynomial is factorable if you like

Answer 11

hey myininaya can you help me out after with my trapezoidal rule question:)

Answer 12

so how do i do this

Answer 13

u do it and we will compare our answer

Answer 14

ok i got mine

Answer 15

answer

Answer 16

did u get an anser

Answer 17

this is weird i never recall ever learning hyperbola's in high school or college.

Answer 18

myininama are you still there

Answer 19

sorry i was away

Answer 20

\[y=\frac{-72\pm \sqrt{72^2-4*9*64}}{2*9}\]

Answer 21

ok

Answer 22

i got that

Answer 23

and then help me furthur

Answer 24

with simplifying?

Answer 25

yes

Answer 26

please

Answer 27

the bottom is 18 because 2*9=18
i would be 72^2-4*9*64 in my calculator if i were you

Answer 28

ok

Answer 29

exact answer i get is \[y=(-72\pm \sqrt{4968})\div18\]

Answer 30

y=(-72+ sqrt{329472})/18
y=(-72- sqrt{329472})/18

Answer 31

that is te answer

Answer 32

lol hes right i accidently put + between the b^2 and the 4ac

Answer 33

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

Answer 34

ok thanks.

Answer 35

so myininaya how do u go from there

Answer 36

what do you mean?

Answer 37

you can find the other two points now if you want

Answer 38

\[y={-4} \pm \frac{\sqrt{4968}}{18}\]

Answer 39

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

Answer 40

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)

Answer 41

i dont think the last two points are correct

Answer 42

can we simply it

Answer 43

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

Answer 44

i only have this calcutor on computer and i dont like to use it

Answer 45

i got 3888

Answer 46

inm i got 2880

Answer 47

72^2=5184
4*9*64=2304
i mean 64 not 36

Answer 48

myininaya where did you get 36.
that's what i mean.

Answer 49

2880

Answer 50

2880 here also

Answer 51

lol that should be under the square root sign not 4 thousand something number

Answer 52

ok thanks i got it

Answer 53

squareroot of 4968 i think

Answer 54

but 72^2-4(9)(36)=2880

Answer 55

i mean 64 not 36