anonymous
  • anonymous
Consider the equation: x2 − y2 = 9. Find the x- and y-intercept(s) of the graph, if any exist. (If an answer does not exist, enter DNE.) x-intercept (x, y) = ____ (smaller x-value) x-intercept (x, y) =____ (larger x-value)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AkashdeepDeb
  • AkashdeepDeb
For finding any intercept of any function/equation Just put x=0 for finding y intercept. Put y=0 for x-intercept....
anonymous
  • anonymous
so would it be (-9,0) for the smaller x-value and (9,0) for the larger x value?
DebbieG
  • DebbieG
If you plug in y=0, what do you get for x?

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More answers

anonymous
  • anonymous
9?
DebbieG
  • DebbieG
How so? show your work.
DebbieG
  • DebbieG
\( x^2 − y^2 = 9\) Put in y=0. The equation becomes...?
anonymous
  • anonymous
x2-0=9
DebbieG
  • DebbieG
Ok, simplify.... \(x^2 = 9\) Now what? How do you find x from this point?
anonymous
  • anonymous
find the square root which is 3
DebbieG
  • DebbieG
Well, yes... you take the sq. root of both sides, and what do you need to use when you do that? \(\sqrt{x^2} =???\sqrt{ 9}\) You need something here on the right hand side when you take that sq root....
anonymous
  • anonymous
the plus and minus sign
DebbieG
  • DebbieG
Exactly.... \(\sqrt{x^2} =\pm \sqrt{ 9}\) so your (two) solutions for x are?
anonymous
  • anonymous
(-3.0) (3,0)
DebbieG
  • DebbieG
yes, those are the intercepts. :)
DebbieG
  • DebbieG
You see the error you were making when you said 9 and -9?
anonymous
  • anonymous
yes i see it now, thank you so much :)
DebbieG
  • DebbieG
You're welcome, happy to help. :)

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