Question

The parabolas y = 4x - x and y = 4x -x^ 2 are tangent to each other. Find the equation of the line tangent to them at the point of tangency.

Answer 1

ok first find the point where they tangent each other (its a comon point )

Answer 2

but wait first equation is like this ?
\( y=4x2−x\) ?

Answer 3

No points? Thinking I would make two equations equal.

Answer 4

4x^2 - x and 4x - x^2 are not tangent to each other - they intersect at 2 points