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Find the separate equation of the line represented by the following equation: 5x2 – 9y2 = 0 - Mathematics and Statistics

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Question

Find the separate equation of the line represented by the following equation:

5x2 – 9y2 = 0

Sum
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Solution

5x2 – 9y2 = 0

∴ `(sqrt(5)x)^2 - (3y)^2` = 0

∴ `(sqrt(5)x - 3y)(sqrt(5)x + 3y)` = 0

The separate equations of the lines are `(sqrt(5x) + 3y)` = 0 and `(sqrt(5x) - 3y)` = 0.

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Combined Equation of a Pair Lines
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Chapter 4: Pair of Straight Lines - Exercise 4.1 [Page 119]

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