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    the straight line L has the equation y=3x-1 and the curve C has equation y=(x+3)(x-1)

    a) sketch on the same axes the line L and the curve C showing the values of the intercepts on the x-axes and the y axes

    b)show that the x-coordinates of the points of interception of L and C satisfy the equation x^2-x-2=0

    c)hence find the coordinates of the points of interception of L and C


    I have done question a but I really am lost with question b as in class we haven't really done much on this and in the textbook and revision guide I can not seem to find anything explaining it. any help appreciated
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    (Original post by βradley)
    the straight line L has the equation y=3x-1 and the curve C has equation y=(x+3)(x-1)

    a) sketch on the same axes the line L and the curve C showing the values of the intercepts on the x-axes and the y axes

    b)show that the x-coordinates of the points of interception of L and C satisfy the equation x^2-x-2=0

    c)hence find the coordinates of the points of interception of L and C


    I have done question a but I really am lost with question b as in class we haven't really done much on this and in the textbook and revision guide I can not seem to find anything explaining it. any help appreciated
    If the point (a,b) is where L and C intersect, then the point is on both lines where they meet (what does that mean about the equations?)

    Also notice that you just have x equations there so once you've figured out what to do with the equations given, you will know which variable to eliminate.
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    as SeanFM says... where the curve & line meet the y coordinates do something rather special ?
 
 
 
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