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Math Help - square roots

  1. #1
    Junior Member
    Joined
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    Arrow square roots

    i don't get how the teacher got ====> x^2-14x+24

    from =======> 4x+1=x^2-10+25

    the question is

    5- square root 4x+1 = x

    so i first square everything and move the 5 over
    making it -5

    i then square the x, and i got 25 (bc 25 square is 5) and i double up the middle making it -10
    so this is what i got also

    4x+1=x^2-10+25

    but i don't know how he went from =====> 4x+1=x^2-10+25
    to=====> x^2-14x+24

    please help

    Thanks
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  2. #2
    Super Member
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    Quote Originally Posted by Candy101 View Post

    but i don't know how he went from =====> 4x+1=x^2-10+25
    to=====> x^2-14x+24
     5 - \sqrt{4x+1} = x

    - \sqrt{4x+1}  = x-5 Squaring both sides gives

     4x + 1 = x^2 - 10x + 25 not  4x + 1 = x^2 - 10 + 25

    From here you should get  x^2 - 14x + 24 = 0
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