Question

put this equation 5x^2-4y^2-40x-16y=36 into the form of y^2/b^2-x^2/a^2=1 or x^2/a^2-y^2/b^2=1

Answer 1

note: i can't go on neither vyew or skype because of technical difficulites

Answer 2

\[ 5x^2-4y^2-40x-16y=36 \]

Answer 3

yes@nodata

Answer 4

put all the math inside this \[ and

Answer 5

5x^2-4y^2-40x-16y=36

5(x^2-8x+16)-4(y^2+16y+64)=36-64+(16*5)

Answer 6

\] this to make it look good

Answer 7

i dont see the reason to make the equation "look good"

Answer 8

its already ugly

Answer 9

5(x-4)^2-4(y+8)^2=36-64+(16*5)

Answer 10

Because we can understand it better.

Answer 11

ummm..idk@nodata
oh..so u completed the square?@big imran

Answer 12

yes, that's what I did

Answer 13

5(x-4)^2-4(y+8)^2=52

divide across by 52

Answer 14

\[\frac{(x-x_0)^2}{a^2} + \frac{(y-y_0)^2}{b^2}=1 \]

Answer 15

btw, I did something wrong arithmetically

Answer 16

wat?

Answer 17

I think you can put it in that form if you complete the square

Answer 18

lol..im kinda confused

Answer 19

Sorry, It's a good a idea to complete the square.

Answer 20

And imranmeah91 is working on that.

Answer 21

5x^2-4y^2-40x-16y=36

5(x^2-8x+16)-4(y^2+4y+4)=100
5(x-4)^2 -4(y+2)^2=100

Answer 22

wait..where did the 100 com outta from?

Answer 23

36+80-16=100

Answer 24

i see where the 36 and 16 came outta..jus the 80

Answer 25

\[\underline{5}(x^2-8x+\underline{16})-4(y^2+4y+4)=100\]

Answer 26

that's where 80 come from

Answer 27

oh..lols im a slow learner..sry

Answer 28

\[\frac{5(x-4)^2}{100}-4\frac{(y+2)^2}{100}=1\]

Answer 29

is tht it? can we simplify anymore?

Answer 30

\[\frac{(x-4)^2}{20}-\frac{(y+2)^2}{25}=1\]

Answer 31

kay...u simplify?

Answer 32

since they want it in a^2 , b^2 form

\[\frac{(x-4)^2}{\sqrt{20}^2}-\frac{(y+2)^2}{5^2}=1\]

Answer 33

and the x-4 and y+2 stay, or can they come outta the equation as well?

Answer 34

no , they stay put

Answer 35

okay! thank u soo much!!!!