how to factor x^2 + 2x -1?

NetherCraft 0

i dont know if its even possible but how do you factor x^2 + 2x -1?

7 Answers

  • … x^2 + 2x – 1

    Factor by “completing the square”

    … x^2 + 2x = 1

    or x^2 + 2(x)(1) = 1

    or x^2 + 2(x)(1) + 1^2 = 1^2 + 1

    or (x + 1)^2 = 2

    or x + 1 = ± √2

    or x + 1 ± √2 = 0

    … x^2 + 2x – 1

    = (x + 1 – √2)(x + 1 + √2)

    Verified: http://www.wolframalpha.com/input/?i=x%5E2+%2B+2x+…

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    RE:

    how to factor x^2 + 2x -1?

    i dont know if its even possible but how do you factor x^2 + 2x -1?

  • Use the quadratic formula to solve

       ax²+bx+c=0

    where

       a=1

       b=2

       c=-1

    x = [-b ± √(b²-4ac)] / (2a)

       = [-2 ± √(2² – 4·1·(-1))] / (2·1)

       = [-2 ± √8] / 2

       = [-2 ± 2√2] / 2

       = -1 ± √2

    x² + 2x – 1 = (x + 1-√2)(x + 1+√2)

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    (x-1)(x-1)=0 so x equals 1

  • (-2+-sqrt8)/2 = (-1+-2*sqrt2)/2

    ,’, x = -1/2 + sqrt 2 or x = -1/2 – sqrt 2

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