A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
What is the xxx-coordinate of the parabola's vertex?

The vertex of a parabola is the minimum or maximum point of  the parabola.

The x-coordinate of the vertex is 6

The intersection points are given as:

The x-coordinate of the parabola is calculated as:

So, we have:

Simplify

Hence, the x-coordinate of the vertex is 6

Read more about vertex at:

link

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola:

The equation of symmetry at the parabola's vertex is x=h

Where

In this case,

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: