Question 307814: what is the intersection points of y= x^3-3x^2+x and y=x^2-3x
my concern is inputing x^3 into the quadratic equation
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! the expressions are equal at the intersection(s)
x^3 - 3x^2 + x = x^2 - 3x
x^3 - 4x^2 + 4x = 0
factoring ___ x(x^2 - 4x + 4) = 0
still factoring ___ x(x - 2)^2 = 0
x = 0 and x = 2 (double root)
the intersection points are (0,0) and (2,-2)
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