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Math Help - completeing the square

  1. #1
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    completeing the square

    Problem:
    By completing the square, the expression (x^2)+2x+164 equals ((x+A)^2)+B where A=______ and B=_______.

    I found A, which is 1
    but I can't figure out B.

    help please
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  2. #2
    Junior Member
    Joined
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    Quote Originally Posted by lsnyder View Post
    Problem:
    By completing the square, the expression (x^2)+2x+164 equals ((x+A)^2)+B where A=______ and B=_______.

    I found A, which is 1
    but I can't figure out B.

    help please
    hello,

    you need to equal the equation to zero , then pass 164 to the other side of the equation .
    so you will have x^2+ 2x = -164.
    Then, you need multiply 2x by 1/2. The result, which is 1, must be written on both sides of the equation.

    x^2+2x+1= -164+1

    At this point, you have already completed the square, and you only need to reduce both sides of the equation.

    (x+1)^2 = -163

    (x+1)^2 + 163

    Therefore, a = 1 and b = 163
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