document.write( "Question 1040840: y^2(1-x)=x^2(x+1)\r
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Algebra.Com's Answer #655772 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Graph the relation
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\n" ); document.write( "\n" ); document.write( "This relation is called an equation.\r
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\n" ); document.write( "\n" ); document.write( "Plot  y = \"sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29\" (red line)\r
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\n" ); document.write( "\n" ); document.write( "Plot  y = \"-sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29\" (green line)\r
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\n" ); document.write( "\n" ); document.write( "The domain is   -1 <= x < 1.\r
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\n" ); document.write( "\n" ); document.write( "Comment from student: That is not what the graph looks like in the answers. It looks like a sideway cancer ribbon\r
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\n" ); document.write( "\n" ); document.write( "My response: if you know more than I it is even better.\r
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document.write( "By the way, what is shown in the plot by the red line, is the positive branch of the function y = \"sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29\".\r\n" );
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document.write( "What is shown in the green line is the negative branch of this function: y = \"-sqrt%28%28x%5E2%2A%28x%2B1%29%29%2F%281-x%29%29\".\r\n" );
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document.write( "It is plotted under the assumption that your formula is \r\n" );
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document.write( "\"y%5E2%2A%281-x%29\" = \"x%5E2%2A%28x%2B1%29\".\r\n" );
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document.write( "But Your writing is ambiguous: it may be read in more than 1 way.\r\n" );
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document.write( "Use parentheses to make your formulas unambiguous.\r\n" );
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