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Math Help - [SOLVED] Easy Factoring Question?

  1. #1
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    [SOLVED] Easy Factoring Question?

    Please forgive me, but I am having a total mind block..

    I am doing a question about a diver, and I have to determine when the diver hits the water. The equation is y= -5t^2 +10t +50.

    I have tried simple factoring, complex factoring, and using the quadratic formula and nothing has worked =( Don't know whats going on. I know the answer is 4.3 something through my graphing calculator, but I can't get there.. I have done many questions like this before but I have been sitting here for half an hour trying to figure this one out, and I either did something wrong or I am missing something simple and stupid because I've been doing math all day.

    Thanks
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  2. #2
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    What may help in that particular problem is to factor out the 5 and then trying to complete the square. That method should at least be a step in the right direction i hope!
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  3. #3
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    Ahhh, well I will have to review how to complete the square then :/
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  4. #4
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    _____________________
    = -10 + / 10^2 - 4(-5)(50)
    _________________________
    2(-5)

    = - 10 + 33.17
    _____________

    -10

    Survery Says:

    = -2.37 or 4.42


    Sorry it doesnt look pretty, but thats what happens when you have limited resources in a computing lab.
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  5. #5
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    Ahhh, I figured out why. I inputted a -5 in the -b at the beginning instead of a 10 :/ stupid mistake. I really should learn how to complete the square though
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  6. #6
    Member TheMasterMind's Avatar
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    Quote Originally Posted by Slipery View Post
    Ahhh, I figured out why. I inputted a -5 in the -b at the beginning instead of a 10 :/ stupid mistake. I really should learn how to complete the square though
    completing the square would give

    y= -5t^2 +10t +50

    y=-5(t^2-2t)+50

    y=-5(t^2-2t-1+1)+50

    <br />
y=-5(t^2-2t)+50+5

    y=-5(t^2-2t)+55

    y=-5(t-1)^2+55

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