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Math Help - find value

  1. #1
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    find value

    the question i've got is:

    find the exact value of the x-coordinate at each of the points of intersection of the following:

    the line 3x + 4y = 9 and the curve y = 3x^2 - 7x + 2

    i've got it down to \frac{25}{4} \pm \sqrt {\frac{673}{16}} but i'm not sure how to complete it. any help would be appreciated. thanks
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by mark View Post
    the question i've got is:

    find the exact value of the x-coordinate at each of the points of intersection of the following:

    the line 3x + 4y = 9 and the curve y = 3x^2 - 7x + 2

    i've got it down to x=\frac{25}{4} \pm \sqrt {\frac{673}{16}} but i'm not sure how to complete it. any help would be appreciated. thanks
    Hi mark,

    I'm not getting the same thing you got when you solved for x. Substitute the second equation into the first.

    3x+4(3x^2-7x+2)-9=0

    Solve this for x.
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