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Write the equation in standard form for the ellipse x2+6y2−30=0x^2 + 6y^2 - 30 = 0.

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Full solution

Q. Write the equation in standard form for the ellipse x2+6y2−30=0x^2 + 6y^2 - 30 = 0.
  1. Divide by 3030: Now, divide everything by 3030 to get the standard form of the ellipse. (x2)/30+(6y2)/30=30/30(x^2)/30 + (6y^2)/30 = 30/30
  2. Simplify the equation: Simplify the equation. x230+y25=1\frac{x^2}{30} + \frac{y^2}{5} = 1

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