Here is how the problem reads, the graphing part I got, it's just the problem itself.
Graph the two parabolas y=x^2 and y=-x^2 +2x -5 in the same coordinate plane. Find the equations of the two lines simultaneously tangent to both parabolas.
I got as far as just finding the derivatives which as 2x and -2x+2, but I can't the equations.
Given a parabola and if they intersect exactly once then the equation (of the intersection) has exactly one solution, this is a quadradic so, . We want this quadradic to has exactly one real solution that happens when the discrimant is zero.
(We want it to have exactly one solution because a tangent line to a parabola intersects it exactly one time. )
Okay I fix it.the other solution to the system is (-2,-1), not (-2,1)