SOLUTION: Rotate the axes and eliminate the xy term of 3x^2 + 2xy + 3y^2 -8 = 0, Please include details on how to solve. Thank you

Question 860397: Rotate the axes and eliminate the xy term of 3x^2 + 2xy + 3y^2 -8 = 0, Please include details on how to solve. Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Rotate the axes and eliminate the xy term of 3x^2 + 2xy + 3y^2 -8 = 0, Please include details on how to solve.
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Form: Ax^2 + Bxy + cy^2 + Dx + Ey + F = 0
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Convert to x'/y' axes using:
x = x'cos(t)-y'sin(t)
y = x'sin(t)+y'cos(t)
and cot(2t) = (A-C)/B
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Cheers,
Stan H.
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