How do I write my x intercepts as an ordered pair when my X-Intercepts at X = { 2.64575, -2.64575 }?
Your x intercepts (or "roots" or "solutions"r "zeros") are solutions where the parabola
y = a x^2 + b x + c
crosses the x axis where y = 0
so, if you have two real roots, or whatever you want to call those crossings of the x axis, they are where y=0
so
( x1 , 0 ) and (x2 , 0 )
To write the x-intercepts as an ordered pair, you need to represent each x-intercept value with its corresponding y-coordinate, which is always 0 for x-intercepts.
Given x-intercepts at x = {2.64575, -2.64575}, the ordered pairs would be:
For the x-intercept x = 2.64575, the ordered pair would be (2.64575, 0).
For the x-intercept x = -2.64575, the ordered pair would be (-2.64575, 0).
The y-coordinate is always 0 since the x-intercept occurs at the point where the graph intersects with the x-axis, which means the y-value is always 0.