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Intersection point
In geometry, an intersection point of two curves is a point that lies on both curves.
Explanation
On a graphing calculator, you can show the points of intersection.
Example 1
The equation x2 = √x has two solutions, x1 = 0 and x2 = 1, which you can see on the graph.
A calculation gives
x2 = x½
(x2)2 = ( x½)2
x4 = x
x4 − x = 0
x(x3 − 1) = 0 ⇒ x1 = 0 and x2 = 1.