how to 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+...

• X 2 2x 1 Factored

• Factor X 2 2x 1

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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