math

show that the equation x^2+2xy+y^2+x+y-2=0 rebresent two paralil lines and find the equations of thos lines

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  1. x^2+2xy+y^2+x+y-2=0

    Decomposition:

    (x+y-1)(x+y+2)=0

    Expresion has zeros when:

    x+y-1=0

    and

    (x+y+2)=0

    x+y-1=0

    y= -x+1

    x+y+2=0

    y= -x-2

    Equation of sraight line:

    y = mx + b

    m=slope

    b=y-intercept

    y= -x+1 Slope -1

    y= -x-2 Slope -1

    Lines with the same slope are parallel.

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