"Sketch the circles x²+y²=1 and y²+(x-3)²=4. There is a line with positive slope that is tangent to both circles. Find the points at which the tangent line touches each circle."
solve using implicit differentiation
I found the answer online and it is (-1/3, (2√2)/3) and (7/3, (4√2)/3), but i dont know how he got it.
i know the slopes of the circles are -x/y and (3-x)/y
can this be a system of equations?