SOLUTION: 9x^2+4y^2+36x-24y+36=0

Question 1197383: 9x^2+4y^2+36x-24y+36=0

Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

.............complete squares

............divide by

=> it’s an vertical ellipse with center at (,)
=> and
=> and
semi-major axis length:
semi-minor axis length:

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The same solution as shown by the other tutor... but I find her presentation of the process a bit messy.

Move the constant to the other side and complete the square in both x and y.

Be sure when completing the square that you add the same constants to both sides of the equation.

Put in standard form by dividing by the constant on the right, to make the right side equal to 1.

That is the standard form of an equation with center (-2,3), vertical semi-major axis of length 3, and horizontal semi-minor axis of length 2.

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