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Write the equation in standard form for the ellipse x2+6y2−24=0x^2 + 6y^2 - 24 = 0.

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Full solution

Q. Write the equation in standard form for the ellipse x2+6y2−24=0x^2 + 6y^2 - 24 = 0.
  1. Divide by 2424: Now, divide each term by 2424 to get the standard form of the ellipse. \newline(x2)/24+(6y2)/24=24/24(x^2)/24 + (6y^2)/24 = 24/24\newlinex2/24+y2/4=1x^2/24 + y^2/4 = 1

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