document.write( "Question 1150091: identity the conic whose equation is 9x²-10xy-4y²-36=0 by rotating the xy-axes to put the conic in standard position.
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Algebra.Com's Answer #771529 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "9x²-10xy-4y²-36=0\r\n" );
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document.write( "Ax²+Bxy+Cy²+Dx+Ey+F=0\r\n" );
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document.write( "The discriminant B²-4AC = (-10)²-4(9)(-4) = 100+144 = 244 > 0 so it is\r\n" );
document.write( "the equation of a hyperbola.\r\n" );
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document.write( "We calculate the angle through which to rotate the xy-axes.\r\n" );
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document.write( "The y-axis must be rotated through an angle of θ where\r\n" );
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document.write( "The x-axis must be rotated through an angle of 90°-θ = 26.21570399.\r\n" );
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document.write( "Edwin

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