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Write the equation in standard form for the ellipse 7x2+y2=287x^2 + y^2 = 28.

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Full solution

Q. Write the equation in standard form for the ellipse 7x2+y2=287x^2 + y^2 = 28.
  1. Divide by 2828: Divide both sides of the equation by 2828 to get the standard form.
  2. Get standard form: (7x228)+(y228)=2828(\frac{7x^2}{28}) + (\frac{y^2}{28}) = \frac{28}{28}
  3. Final equation: x24+y228=1\frac{x^2}{4} + \frac{y^2}{28} = 1

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