SOLUTION: What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?
Give your answer as a list of points separated by semicolons, with th
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-> SOLUTION: What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?
Give your answer as a list of points separated by semicolons, with th
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Question 1030328: What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?
Give your answer as a list of points separated by semicolons, with the points ordered such that their x-coordinates are in increasing order. (So "(1,-3); (2,3); (5,-7)" - without the quotes - is a valid answer format.) Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect?
:
At intersection g(x) = f(x)
write it as one equation
x^3 + x^2 + x - 1 = x^3 - x^2 + x + 1
Combine like terms
x^3 - x^3 + x^2 + x^2 + x - x = 1 + 1
2x^2 = 2
divide by 2
x^2 = 1
x = +/-
x = 1
and
x = -1
:
Find y when x = 1
y = 1^3 + 1^2 + 1 - 1
y = 2
:
Find y when x = -1
y = -1^3 + 1^2 -1 - 1
y = -1 + 1 - 1 - 1
y = -2
:
Two coordinates: -1,-2; 1,2
:
looks like this
