Question

Find the separate equations of the lines represented by the equation 3x² – 10xy – 8y² = 0.

Answer 1

Given pairs of lines 3x² – 10xy – 8y² = 0

⇒ 3x² – 12xy + 2xy – 8y² = 0

⇒ 3x(x – 4y) + 2y(x – 4y) = 0

⇒ (x – 4y)(3x + 2y) = 0

Separated equations are:

3x + 2y = 0 and x – 4y = 0