document.write( "Question 1125292: Find a b and c of this ellipse 9x²-3y²-36x-6y+12=0\r
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Algebra.Com's Answer #741593 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " It is NOT AN ELLIPSE ! It is a hyperbola ! !\r
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\n" ); document.write( "\n" ); document.write( " Fix an error in your condition ! ! ! \r
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document.write( "9x² - 3y² - 36x - 6y + 12 = 0.\r\n" );
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document.write( "Complete the squares for x-terms and y-terms separately, step by step\r\n" );
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document.write( "(9x^2 - 36x) - (3y^2 + 6y) = -12\r\n" );
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document.write( "9*(x^2 - 4x) - 3*(y^2 + 2y) = -12\r\n" );
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document.write( "9*(x^2 -4x + 4) - 3*(y^2 + 2y + 1) = -12 + 9*4 - 3\r\n" );
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document.write( "9*(x-2)^2 - 3*(y+1)^2 = 21.\r\n" );
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document.write( "Divide both sides by 21\r\n" );
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document.write( " -  = 1,   or equivalently\r\n" );
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document.write( " -  = 1,\r\n" );
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document.write( " -  = 1.    (Equation of a hyperbola)\r\n" );
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document.write( "Thus   a= ,  b= ,    and  c =  =  =  = .\r\n" );
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