1. The problem statement, all variables and given/known data Sketch the graphs of y=x2 and y= -x2+6x-5, and sketch the two lines that are tangent to both graphs. Find equations of these lines. 2. Relevant equations 3. The attempt at a solution So I know that a tangent line to both graphs means that the tangent line will touch the first graph at (x1,y1) and the second graph at (x2, y2) and at these separate points, the derivatives will be equal. So my first equation looks like 2x1 = -2x2+6, however I'm stuck on what other equation I'm supposed to use to solve for both x-variables.