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Write the equation in standard form for the ellipse 2x2+y2=42x^2 + y^2 = 4.

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Full solution

Q. Write the equation in standard form for the ellipse 2x2+y2=42x^2 + y^2 = 4.
  1. Simplify fractions: Now simplify the fractions.\newlineCalculation: x2/2+y2/4=1x^2/2 + y^2/4 = 1
  2. Check standard form: Check if it looks like the standard form of an ellipse equation.\newlineYep, it's in the form (x2/a2)+(y2/b2)=1(x^2/a^2) + (y^2/b^2) = 1, where a2=2a^2 = 2 and b2=4b^2 = 4.

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