basyalroshan7 basyalroshan7
  • 13-07-2022
  • Mathematics
contestada

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

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Аноним Аноним
  • 13-07-2022

By factorizing, we have

[tex]x^2 + 5xy - 6y^2 = (x - y) (x + 6y) = 0[/tex]

so that

[tex]x - y = 0 \implies \boxed{y = x}[/tex]

or

[tex]x + 6y = 0 \implies \boxed{y = -\dfrac x6}[/tex]

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