How to find second intersection point?
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Okay, so
My task is to find the intersections points of functions f1 = 1/x and f2 = sqrt(5./2 - (x^2))
I've found one of the intersections points using:
Intersections=find(abs(f1-f2)<=(0.05));
xvalues=x1(Intersections);
But looking at the graphs I see there are two intersections points, so how do I find the other?
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Answers (2)
Star Strider
on 17 Sep 2022
It is easiest to do this symbolically —
syms x
f1 = 1/x;
f2 = sqrt(5./2 - (x^2));
Intx = solve(f1 == f2)
Intxd = double(Intx)
.
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Star Strider
on 17 Sep 2022
The symbolic approach solves for and , agreeing with the numeric approach, so I do not see how any other values could be correct.
Torsten
on 17 Sep 2022
x1 = 0:0.0001:1.5;
f1 = 1./x1;
f2 = sqrt(5./2 - (x1.^2));
Intersections = find(abs(f1-f2)<0.00005);
xvalues=x1(Intersections)
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