Equation of the tangent line to an ellipse?

Someone

New member
Find the equation of both tangent lines to the ellipse x^2 + 4y^2 = 36
that pass through the point (5,3) which is not a point on the ellipse.

i found the derivative to be -x / 4y
and the slope of my point would be
y-3 / x-5

...now what should i do?
 
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