Question

Find the separate equations of the line represented by the following equations.Also find the angle between the lines:


B. x²+ y²+x-y = 0
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Answer 1

Answer:

Try to separate it into different parts and try to use a substitution as follows:

step 1 factorise x2−y2 :

x2−y2=(x+y)(x−y)

step 2 let a=x−y :

so

x2−y2+x−y=(x+y)(x−y)+(x−y)

replacing x-y to a becomes

x2−y2+x−y=(x+y)a+a

=a((x+y)+1))

taking back from a the x-y:

a((x+y)+1))=(x−y)(x+y+1)