SOLUTION: graph the ellipse x^2+4y^2=64

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Question 177021: graph the ellipse x^2+4y^2=64

Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
in order to graph this, you have to solve for y.
you start off with:
x^2 + 4y^2 = 64
subtract x^2 from both sides to get:
4y^2 = 64 - x^2
divide both sides by 4 to get:
y^2 = (64-x^2)/4
take square root of both sides to get:
y = +/- sqrt%28%2864-x%5E2%29%2F4%29
you could simplify further but it's not necessary.
you would graph 2 equations.
first equation would be:
y = sqrt%28%2864-x%5E2%29%2F4%29
and second equation would be:
y = - sqrt%28%2864-x%5E2%29%2F4%29
shown below: