Question

Use quadratic formula to solve for y

3x^2- 2(sqrt3)xy +y^2 +6(sqrt3)x -2y -40=0

Answer 1

so we can put y in terms of x?

Answer 2

\[(1)y^2+(-2 \sqrt{3}x-2)y+(3x^2+6 \sqrt{3}x-40)=0\]

Answer 3

\[\text{ where }a=1, b=-2 \sqrt{3}-2 , c=3x^2+6 \sqrt{3} x-40\]

Answer 4

\[y=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

Answer 5

well the option that is closest to what i get when i plug those in is y=1+sqrt3(x) +/- sqrt(-4sqrt3(x) =41)

Answer 6

\[y=\frac{-(-2 \sqrt{3}-2) \pm \sqrt{(-2 \sqrt{3}-2)^2-4(1)(3x^2+6 \sqrt{3}x-40)}}{2(1)}\]

Answer 7

this is crazy lookin' lol

Answer 8

\[y=\frac{2 \sqrt{3} +2 \pm \sqrt{4(3)-2(-2 \sqrt{3} (2))+2^2-12x^2-24 \sqrt{3} x+160}}{2}\]

Answer 9

haha yes i know! that is what i got when i plugged them in. However, i have multiple choice, and t hat is not an option. \[y= 1+ \sqrt{3}x \pm \sqrt{-4\sqrt{3}x +41}\]

Answer 10

this is the only similar option

Answer 11

\[y=\frac{2 \sqrt{3} +2 \pm \sqrt{12+8 \sqrt{3}+4-12x^2-24 \sqrt{3} x+160}}{2}\]

Answer 12

idk its not one of my options :(

Answer 13

\[y=\frac{2 \sqrt{3}+2 \pm \sqrt{-12x^2-24 \sqrt{3}x+176+8 \sqrt{3}}}{2}\]
i'm still simplying

i'm just showing my steps

Answer 14

simplifying*

Answer 15

oh okay! sorry!

Answer 16

\[y=\frac{2 \sqrt{3}+2 \pm \sqrt{4} \sqrt{-3x^2-6 \sqrt{x} +44+2 \sqrt{3}}}{2}\]

Answer 17

\[y=\frac{2 \sqrt{3} +2 \pm 2 \sqrt{-3x^2-6 \sqrt{x}+44+2 \sqrt{3}}}{2}\]

Answer 18

notice each term has the common factor 2

Answer 19

\[y=\frac{ \sqrt{3}+1 \pm 1 \sqrt{-3x^2-6 \sqrt{x}+44+2 \sqrt{3}}}{1}\]
\[y= \sqrt{3}+1 \pm \sqrt{-3x^2-6 \sqrt{x}+44+2 \sqrt{3}}\]

Answer 20

oops i'm missing x in my b term

Answer 21

:(

Answer 22

i have to do this on paper lol

Answer 23

can you give me a sec?

Answer 24

its alright! of course i can! do you think when you are done you could help me with another similar problem?

Answer 25

ok i got it

Answer 26

i'm gonna scan it

Answer 27

ok:)

Answer 28

which is what you thought gj

Answer 29

yes! thank you so much

Answer 30

that is weird
the file posted twice

Answer 31

how many times do you see the file?

Answer 32

it keeps posting :(

Answer 33

like 5 at least haha

Answer 34

ok i have to do something
post your new question on the left ok
and if i get back i will look at it

Answer 35

okay! i will.

Answer 36

:)
fun problem by the way

Answer 37

haha yes it was! thanks for your help!