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Question
Find the separate equation of the line represented by the following equation:
6x2 - 5xy - 6y2 = 0
Solution
6x2 - 5xy - 6y2 = 0
∴ 6x2 - 9xy + 4xy - 6y2 = 0
∴ 3x (2x - 3y) + 2y(2x - 3y) = 0
∴ (2x - 3y)(3x + 2y) = 0
the separate equations of the lines are
2x - 3y = 0 and 3x + 2y = 0.
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