Solve the following system.
4x^2 + 9y^2 =72
x^2 - y^2 = 5
The solutions are?

- anonymous

Solve the following system.
4x^2 + 9y^2 =72
x^2 - y^2 = 5
The solutions are?

- katieb

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- anonymous

i've tried to do this at least 5 times. i don't understand it at all

- mathslover

|dw:1337656235090:dw|

- mathslover

|dw:1337656263685:dw|

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## More answers

- mathslover

|dw:1337656308816:dw|

- anonymous

or multiply the second equation by -4

- mathslover

|dw:1337656338440:dw|

- mathslover

|dw:1337656365038:dw|

- mathslover

|dw:1337656398578:dw|

- anonymous

\[4x^2+9y^2=72\]
\[-4(x^2-y^2)=-4(5)\]

- mathslover

|dw:1337656433069:dw|

- anonymous

there's supposed to be 2 solutions:
The solutions are:
(_,_) & (_,_)

- anonymous

\[4x^2+9y^2=72\]
\[-4x^2+4y^2=-20\]
add them together to get
\[13y^2=52\]

- anonymous

trust me, i've gotten all the solutions possible. but the answer is still wrong.

- anonymous

\[y^2=\sqrt{\frac{52}{13}}\]

- mathslover

the solutions are : sqrt(52/11) and sqrt(107/11)

- anonymous

but there's 4 solutions.

- mathslover

@ outkast i think y = sqrt(52/11) u wrote y^2 = sqrt(52/13) ?

- anonymous

yeah i think there might be aproblem with your's mine is correct i thinkkk let me check

- anonymous

yeah mine is correct .. by elimination

- mathslover

u can write it as : |dw:1337656633671:dw|

- radar

\[y=\pm2\]\[x=\pm3\]

- anonymous

i also got that ^

- anonymous

i'ma cheat *grabs calculator

- anonymous

lol, i've done that too! ^

- anonymous

ahh wait mathslover you have 7 instead of 9

- mathslover

hey sorry , i took 4x^2 + 7y^2 but it is 4x^2 + 9y^2 , therefore the 4 solutions are : |dw:1337656820684:dw|

- anonymous

i believe you made a 9 really badly and thought it was a 7
the first equation is
4x^2+9y^2=72

- anonymous

For y, I got y= +/- sqrt (52/13)

- anonymous

thats right now for x

- mathslover

yes sorry , y = + 2 , -2
x = +3 , -3

- mathslover

@Outkast3r09 x = +3 , -3 right ?

- anonymous

\[x^2-(2^2)=5\]
\[x^2-(-2^2)=5\]

- anonymous

x = +/- 3

- anonymous

\[x^2-4=5\]
\[x^2-4=5\]

- radar

\[\sqrt{52/13}=\pm2\]\[x ^{2}=9\]\[x=\pm3\]

- anonymous

I was slow, I was using a crappy calculator.

- anonymous

does this mean it's a multiplicity of 2?

- anonymous

@thejoshfish did you try putting in y= +/- sqrt (52/13) and x=+/- 3?

- anonymous

@Outkast3r09 it means 3*3 and (-3)(-3).

- anonymous

i sure did. haha trust me, i tried everything. i'm so fed up.
but you guys are wonderful.

- anonymous

those are your answers are you using like owl or whatever

- anonymous

owl?

- anonymous

Talk with your instructor. I'm taking statics and have the instructor's manual. They're wrong way more times than I'd like them to be. I think the grad students who write the manuals aren't getting enough sleep.

- anonymous

Online web learning

- anonymous

what does it say the answers are josh?

- anonymous

alpha omega academy

- anonymous

it doesn't tell me. but thanks for helping.

- anonymous

sometimes those sites have like a function button with like +- and what not . that could be the problem
or try 3,-3 , -2 ,2

- anonymous

If you have to take the higher level physics series, they might make you use MasteringPhysics. Have fun with that! Groans.

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