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Math Help - Polynomial function

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    Polynomial function

    I can't figure out how to do this problem. I tried using the quadratic formula, but ended up getting a negative under the square root. Any help would be greatly appreciated!

    The target weight w for an adult man of medium build is:
    w(h)=0.0728h^2 - 6.986h + 289 where h is in inches and w is in pounds. If a man of medium build has achieved his target weight of 170 lb, how tall is he?
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    Quote Originally Posted by cam_ddrt View Post
    I can't figure out how to do this problem. I tried using the quadratic formula, but ended up getting a negative under the square root. Any help would be greatly appreciated!

    The target weight w for an adult man of medium build is:
    w(h)=0.0728h^2 - 6.986h + 289 where h is in inches and w is in pounds. If a man of medium build has achieved his target weight of 170 lb, how tall is he?
    170=0.0728h^2 - 6.986h + 289

    0 = 0.0728h^2 - 6.986h + 119

    a = 0.0728

    b = -6.986

    c = 119

    h = \frac{-(-6.986) \pm \sqrt{(-6.986)^2 - 4(0.0728)(119)}}{2(0.0728)}

    h = 73.817542...

    h = 22.143996...

    which solution for h makes sense in the context of the problem?
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