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Write the equation in standard form for the ellipse x2+8y2−16=0x^2 + 8y^2 - 16 = 0.

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Full solution

Q. Write the equation in standard form for the ellipse x2+8y2−16=0x^2 + 8y^2 - 16 = 0.
  1. Divide by 1616: Now, divide each term by 1616 to get the standard form of the ellipse. \newline(x2)/16+(8y2)/16=16/16(x^2)/16 + (8y^2)/16 = 16/16\newline(x2)/16+(y2)/2=1(x^2)/16 + (y^2)/2 = 1

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