document.write( "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?\r
\n" ); document.write( "\n" ); document.write( "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.) \n" ); document.write( "
Algebra.Com's Answer #645200 by ankor@dixie-net.com(22740)\"\" \"About 
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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?
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\n" ); document.write( "At intersection g(x) = f(x)
\n" ); document.write( "write it as one equation
\n" ); document.write( "x^3 + x^2 + x - 1 = x^3 - x^2 + x + 1
\n" ); document.write( "Combine like terms
\n" ); document.write( "x^3 - x^3 + x^2 + x^2 + x - x = 1 + 1
\n" ); document.write( "2x^2 = 2
\n" ); document.write( "divide by 2
\n" ); document.write( "x^2 = 1
\n" ); document.write( "x = +/-\"sqrt%281%29\"
\n" ); document.write( "x = 1
\n" ); document.write( "and
\n" ); document.write( "x = -1
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\n" ); document.write( "Find y when x = 1
\n" ); document.write( "y = 1^3 + 1^2 + 1 - 1
\n" ); document.write( "y = 2
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\n" ); document.write( "Find y when x = -1
\n" ); document.write( "y = -1^3 + 1^2 -1 - 1
\n" ); document.write( "y = -1 + 1 - 1 - 1
\n" ); document.write( "y = -2
\n" ); document.write( ":
\n" ); document.write( "Two coordinates: -1,-2; 1,2
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\n" ); document.write( "looks like this
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-3%2C+3%2C+-4%2C+4%2C+x%5E3-x%5E2%2Bx%2B1%2Cx%5E3%2Bx%5E2%2Bx-1%29+\"\r
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