Question 639804
I am trying to simplify the equation for an ellipse so that it is in the standard form of "x^2/a^2+y^2/b^2=1". The equation is 9x^2+36y^2=4. I have tried to factor the 9 out of the right side of the equation, and then dividing the entire equation by 4. Also, dividing by 4 without factoring had lead me to a dead end. What should I do to get the equation to the standard form?
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standard form of equation for an ellipse with vertical major axis and center at (0,0): {{{x^2/b^2+y^2/a^2=1}}}
{{{9x^2+36y^2=4}}}
divide by 4
{{{x^2/(9/4)+y^2/(36/4)=1}}}
{{{x^2/(9/4)+y^2/9=1}}}
{{{x^2/2.25+y^2/9=1}}}
b^2=9/4=2.25
a^2=9
..
note:{{{9x^2/4=x^2/(9/4)=x^2/2.25}}}
{{{36y^2/4=y^2/(36/4)=y^2/9}}}