document.write( "Question 468601: Solve the system of hyperbola
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\n" ); document.write( "i spent many hour but I can't solve,the number is decimal?
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Algebra.Com's Answer #321560 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"4x%5E2-26y%5E2%2B10=0\"\r\n" );
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document.write( "\"2x%5E2-13y%5E2%2B5=0\"\r\n" );
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document.write( "\"2x%5E2-13y%5E2=-5\"\r\n" );
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document.write( "\"%282x%5E2%29%2F%28-5%29-%2813y%5E2%29%2F%28-5%29=%28-5%29%2F%28-5%29\"\r\n" );
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document.write( "\"-2x%5E2%2F5%2B%2813y%5E2%29%2F5=1\"\r\n" );
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document.write( "\"%2813y%5E2%29%2F5-2x%5E2%2F5=1\"\r\n" );
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document.write( "Here is the trick you probably did not think of.  You\r\n" );
document.write( "can divide a numerator and a denominator by the same\r\n" );
document.write( "number without changing the value:\r\n" );
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document.write( "Then cancel:\r\n" );
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document.write( "\"y%5E2%2F%285%2F13%29-x%5E2%2F%285%2F2%29=1\"\r\n" );
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document.write( "It is now in standard form \r\n" );
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document.write( "\"y%5E2%2Fa%5E2+-+x%5E2%2Fb%5E2=1\"\r\n" );
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document.write( "\"a%5E2=5%2F13\",  \"b%5E2=5%2F2\"\r\n" );
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document.write( "\"a+=+sqrt%285%2F13%29+=+sqrt%2865%29%2F13\", \"b=sqrt%285%2F2%29=sqrt%2810%29%2F2\"\r\n" );
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document.write( "Since the y-term comes first, it opens upward and downward,\r\n" );
document.write( "so a goes upward and downward\r\n" );
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document.write( "a is approximately .6 and b is approximately 1.6, draw the\r\n" );
document.write( "defining rectangle with these corner points: \r\n" );
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document.write( "(b,a), (b,-a), (-b,a), (-b,-a)\r\n" );
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document.write( "Then draw and extend the diagonals of the rectangle, which\r\n" );
document.write( "will be the asymptotes of the hyperbola:\r\n" );
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document.write( "Then sketch in the hyperbola:\r\n" );
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document.write( "Edwin
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