Find the two straight lines represented by x² + 5xy - 6y² = 0

Guillermo Espert asked Oct 19, 2023

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Guillermo Espert asked Oct 19, 2023

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16 votes

By factorizing, we have

x^2 + 5xy - 6y^2 = (x - y) (x + 6y) = 0

so that

$x - y = 0 \implies \boxed{y = x}$

$x + 6y = 0 \implies \boxed{y = -\frac x6}$

Sehugg answered Oct 23, 2023

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