SOLUTION: Please help and show work. thanks Write the equation of the ellipse 36x^ 2 +9y^ 2 +360x−54y+657=0 in standard form (x−h)^ 2/ a^ 2 +(y−k)^ 2/ b^ 2 =1

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Question 999213: Please help and show work. thanks
Write the equation of the ellipse 36x^ 2 +9y^ 2 +360x−54y+657=0 in standard form (x−h)^ 2/ a^ 2 +(y−k)^ 2/ b^ 2 =1

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
to write the equation of the ellipse in standard form , complete the squares, group all and all together

...factor out from first group and from second group

....recall:
compare to and you see that and
;solve for
=>
in =>=>

so, we have











....both sides divide by



....simplify





=> , , ,



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