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Write the equation in standard form for the ellipse x2+9y2−18=0x^2 + 9y^2 - 18 = 0.

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Full solution

Q. Write the equation in standard form for the ellipse x2+9y2−18=0x^2 + 9y^2 - 18 = 0.
  1. Divide by 1818: Now, divide each term by 1818 to get the standard form of the ellipse. x218+9y218=1818\frac{x^2}{18} + \frac{9y^2}{18} = \frac{18}{18}
  2. Simplify equation: Simplify the equation by reducing each fraction. x218+y22=1\frac{x^2}{18} + \frac{y^2}{2} = 1

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