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Math Help - ellipses please help test tomorrow

  1. #1
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    ellipses please help test tomorrow

    49x^2+16y^2+160y=384 please help slove
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  2. #2
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    Quote Originally Posted by k10ennis View Post
    49x^2+16y^2+160y=384 please help slove
    Complete the Square? This is why you studied completing the square in algebra.

    49x^2+16y^2+160y=384

    49x^2+16(y^2+10y+____)=384 + 16*____

    10/2 = 5

    5^2 = 25

    49x^2+16(y^2+10y+25) = 384 + 16*25 = 16*24 + 16*25 = 16*49

    49x^2+16(y+5)^2 = 16*49

     <br />
\frac{x^{2}}{16}+\frac{(y+5)^{2}}{49}\;=\;1<br />

    Okay, now you do one.
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  3. #3
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    Thank You

    Thank you so much. Might have another question but have to run to class now. Thanks again...
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