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

asked Oct 28, 2023 13.6k views

1 vote

by Hook

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3 votes

By factorizing, we have

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

so that

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

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

Jits answered Nov 1, 2023