mrjalapenyo mrjalapenyo
  • 25-06-2019
  • Mathematics
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What are the foci of the graph y2 – 25x2 = 25?

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tramserran
tramserran tramserran
  • 25-06-2019

Answer:  [tex]\bold{(0,-\sqrt{26})\quad \&\quad (0,\sqrt{26})}[/tex]

Step-by-step explanation:

[tex].\qquad y^2-25x^2=25\\\\\implies \dfrac{y^2}{25}-\dfrac{25x^2}{25}=\dfrac{25}{25}\\\\\\\implies \dfrac{y^2}{25}-\dfrac{x^2}{1}=1\\\\\\Center: (0, 0)\\Length\ of\ foci:25+1=c^2\implies \sqrt{26}=c\\Foci: (0,0\pm \sqrt{26})[/tex]

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