What does the equation $2 x^{2} + 4 x y - 5 y^{2} + 20 x - 22 y - 14 = 0$ become when referred to the rectangular axes through the point $(- 2, - 3)$ , the new axes being inclined at an angle at $45^{0}$ with the old axes?

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What does the equation

2 x^{2} + 4 x y - 5 y^{2} + 20 x - 22 y - 14 = 0

become when referred to the rectangular axes through the point

(- 2, - 3)

, the new axes being inclined at an angle at

45^{0}

with the old axes?

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Question Text

What does the equation

2 x^{2} + 4 x y - 5 y^{2} + 20 x - 22 y - 14 = 0

become when referred to the rectangular axes through the point

(- 2, - 3)

, the new axes being inclined at an angle at

45^{0}

with the old axes?

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