Suppose that, for x ≥ 0, the curve C has equation y = 3x − x√x.(a) Find the coordinates of the x-intercepts of C
Question
Solution 1
The x-intercepts of the curve C are the points where the curve intersects the x-axis. This happens when y = 0.
So, to find the x-intercepts, we set y = 0 in the equation of the curve and solve for x.
0 = 3x - x√x
We can factor out an x from each term on the right side of the equation:
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