SOLUTION: with the Foci given write a equation for ellipsis in standard form {{Foci = (-5,0) (5,0) = (x^2 / 169) + (y^2 / 144) =1}} don't understand standard form

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: with the Foci given write a equation for ellipsis in standard form {{Foci = (-5,0) (5,0) = (x^2 / 169) + (y^2 / 144) =1}} don't understand standard form      Log On


   

Question 1126654: with the Foci given write a equation for ellipsis in standard form
{{Foci = (-5,0) (5,0) = (x^2 / 169) + (y^2 / 144) =1}}
don't understand standard form
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

1.   You correctly found one of many possible solutions.

2.   There are MANY possible solutions.   They are

                x%5E2%2Fa%5E2 + y%5E2%2Fb%5E2 = 1

        with 5 = sqrt%28a%5E2+-+b%5E2%29   and with not necessary integers  "a"  and  "b".


3.   For ellipses,  there are three major types/forms of equations:

      a)   a canonical equation.
            See the lesson   Ellipse definition, canonical equation, characteristic points and elements   in this site;

      b)   the standard form equation.
            See the lesson   Standard equation of an ellipse   in this site;

      c)   the general form equation.
            See the lesson   General equation of an ellipse   in this site.

------------------

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.