SOLUTION: Find the standard form of the ellipse given by the equation x^2 + 25y^2 -2x + 150y + 201 = 0
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Question 189360: Find the standard form of the ellipse given by the equation x^2 + 25y^2 -2x + 150y + 201 = 0
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The only difference (aside from the values of the coefficients) between the equation of the hyperbola that I just showed you earlier and an ellipse is that a hyperbola has a minus sign between the two fractions on the left and an ellipse has a plus sign. The process of completing the squares is the same.
An ellipse centered at (h,k) with a semi-major axis a, and a semi-minor axis b is given by:
^2}{a^2} + \frac{ (y - k)^2}{b^2} = 1)
Notice that if a = b and then you multiply by the now common denominator, you get the equation of a circle centered at (h,k) with radius a.
John
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