document.write( "Question 334131: Find the four corners of the fundamental rectangle of the hyperbola: (x^2/81)-(x^2/36)=1 \n" ); document.write( "
Algebra.Com's Answer #239425 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "There was a typo of x for y, in one of the two places, so\r\n" );
document.write( "I had to do both cases, since I couldn't tell whether it \r\n" );
document.write( "was meant to be:\r\n" );
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document.write( "\"x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"y%5E2%2Fa%5E2+-+x%5E2%2Fb%5E2\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "So both cases are below:\r\n" );
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document.write( "The two rules needed are:\r\n" );
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document.write( "1. The four corners of the fundamental rectangle of the hyperbola\r\n" );
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document.write( "\"x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2\"\"%22%22=%22%22\"\"1\" which opens right and left are\r\n" );
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document.write( "are (a,b), (a,-b), (-a,b),(-a,-b)\r\n" );
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document.write( "2. The four corners of the fundamental rectangle of the hyperbola\r\n" );
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document.write( "\"y%5E2%2Fa%5E2+-+x%5E2%2Fb%5E2\"\"%22%22=%22%22\"\"1\" which opens upward and downward\r\n" );
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document.write( "are (b,a), (b,-a), (-b,a),(-b,-a)\r\n" );
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document.write( "Therefore,\r\n" );
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document.write( "1. The four corners of the fundamental rectangle of the hyperbola\r\n" );
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document.write( "\"x%5E2%2F81+-+y%5E2%2F36\"\"%22%22=%22%22\"\"1\" which opens right and left are\r\n" );
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document.write( "are (9,6), (9,-6), (-9,6),(-9,-6)\r\n" );
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document.write( "2. The four corners of the fundamental rectangle of the hyperbola\r\n" );
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document.write( "\"y%5E2%2F81+-+x%5E2%2F36\"\"%22%22=%22%22\"\"1\" which opens upward and downward\r\n" );
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document.write( "are (6,9), (6,-9), (-6,9),(-6,-9)\r\n" );
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document.write( "Edwin
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