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When i try to factor this problem out I cant get it to work. Is this a no solution problem

  • math -

    I hope you are not under the impression that every quadratic can be factored with rationals.

    In this case I would complete the square,

    x^2 + 2x + ... = 4
    x^2 + 2x + 1 = 4+1
    (x+1)^2 = 5
    x+1 = ±√5
    x = -1 ±√5

    the same answer one would get if using the quadratic equation.

    If the coefficient of the x^2 term is 1 and the middle term is even, I always use the "completing the square" method, it gives me the answer in simplified terms. The quadratic formula answers requires simplification.

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