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Math Help - Quadratics Homework

  1. #1
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    Post Quadratics Homework

    How do I solve this?

    Determine the point(s) of intersection of the following two parabolas

    f(x)= x^2 -10x + 21 and g(x)= -x^2 + 12x -35


    (i did this: x^2 -10x + 21 = -x^2 + 12x -35 and then i added them all, changing the signs of the second expression because thats how i was tought, and i got this 2x^2 -22x +56 and after that i am supposed to find two numbers that multiplied give me 56 and added -22... but i think i got it all wrong, im so confused!!!! help!)
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    2x^2 - 22x + 56 = 0

    first rule of factoring ... factor out anything each term has in common.

    2(x^2 - 11x + 28) = 0

    can you factor the quadratic now?
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