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Write the equation in standard form for the ellipse x2+3y2−21=0x^2 + 3y^2 - 21 = 0.

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Convert equations of ellipses from general to standard formright chevron icon

Full solution

Q. Write the equation in standard form for the ellipse x2+3y2−21=0x^2 + 3y^2 - 21 = 0.
  1. Divide by 2121: Now, divide each term by 2121 to get the standard form of the ellipse. x221+3y221=2121\frac{x^2}{21} + \frac{3y^2}{21} = \frac{21}{21}
  2. Simplify fractions: Simplify the equation by reducing the fractions. x221+y27=1\frac{x^2}{21} + \frac{y^2}{7} = 1
  3. Equation in standard form: The equation is now in standard form for an ellipse.

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