Question

find the separate equation represented by the lines x2-y2+x-y=0​

Answer 1

Explanation:

The factors of the equation x

2

+2xy−y

2

=0 by the discriminant method are,

x=

2

−2y±

(2y)

2

−4(−y

2

)

=

2

−2y±2

2

y

=−y±

2

y

x=−y(1+

2

),x=y(

2

−1)

x+(1+

2

)y=0,x−(

2

−1)y=0

Therefore, the separate equations of lines are x+(1+

2

)y=0 and x−(

2

−1)y=0.