SOLUTION: 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

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)
RELATED QUESTIONS
A line goes through points (0, 2) and (1, 1). What is the x-coordinate of the... (answered by Alan3354)

find the points of intersection of the parabolas x^2+2x+3y+4= and... (answered by josgarithmetic,ikleyn)

Find the points of intersection of the graphs of x^2+y^2=25 and y=3x-3... (answered by ewatrrr)

What point is the intersection of the graphs of x = -y, x^2 + y = 2, and -y^2 + 3x = 2? (answered by ewatrrr)

What is the points of intersection of these equations y=x+3... (answered by Edwin McCravy)

What is the intersection of the quadratic equations -x^2+1 and... (answered by stanbon)

Which of the following equations is a quadratic equation ? a. y = x^2 + 4 b. y =... (answered by stanbon)

The focal chord that cuts the parabola x^2= -6y at (6, -6) and cuts the parabola again at (answered by rothauserc)

use the discriminant to determine the number of points of intersection on the line y= 3x... (answered by reviewermath,josgarithmetic)