Fox To-Ong

Geometry Level pending

what is the angle of rotation of the given equation: 52 x 2 − 72 x y + 73 y 2 = 200 52x^{2} - 72xy + 73y^{2} = 200 ?


The answer is 36.87.

Ramiel To-ong by Ramiel To-ong , 37, Philippines

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1 solution

Otto Bretscher
Sep 29, 2015

An eigenvector of [ 52 − 36 − 36 73 ] \begin{bmatrix} 52 & -36 \\ -36 & 73 \end{bmatrix} is ( 4 , 3 ) (4,3) , and the angle of rotations is arctan ⁡ ( 3 / 4 ) ≈ 36.8 7 o \arctan(3/4)\approx{36.87^o}

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