Question 835364
Q:
Find the distance between the points of intersection of the graphs
{{{y = x^2 + 1}}} and y = 5
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A:
To get the points of intersection, we solve
{{{x^2 + 1 = 5}}} then solve for x
{{{x^2 = 4}}}
x = ±2
The points of intersection are (2, 5) and (-2, 5).
The y-coordinates are the same so we just compute the absolute value of the difference between the x-coordinates to get the distance between the two points.
distance = |2 - (-2)| = {{{highlight(4)}}}
Here's the graph:
{{{ graph( 400, 400, -6, 5, -5, 10, x^2+1, 5) }}}