SOLUTION: find the area bounded by the curve 9x^2 + 25y^2 + 18x

SOLUTION: find the area bounded by the curve 9x^2 + 25y^2 + 18x - 100y = 116

Question 1086306: find the area bounded by the curve 9x^2 + 25y^2 + 18x - 100y = 116
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

Transform the given general equation of an ellipse to the standard form by completing the squares:


 =   ====>

 =   ====>

 =   ====>  (divide by 225 both sides)  ====>  

 +  = 1  ====>

 +  = 1.

 +  = 1.


Ellipse centered at ((-1),2) with semi-axes 5 (major semi-axis) and 3 (minor semi-axis).


The area is   =  square units.

See relevant lessons
    - Ellipse definition, canonical equation, characteristic points and elements

    - Standard equation of an ellipse
    - Identify elements of an ellipse given by its standard equation
    - Find the standard equation of an ellipse given by its elements

    - General equation of an ellipse
    - Transform a general equation of an ellipse to the standard form by completing the square
    - Identify elements of an ellipse given by its general equation
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".

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