Question

Solve x2+4x=1 by Completing the square

Answer 1

Answer:

  x = -2 ±√5

Step-by-step explanation:

You want to complete the square by adding the square of half the coefficient of the linear term:

  x^2 + 4x + (4/2)^2 = 1 + (4/2)^2

  (x +2)^2 = 5 . . . . . simplify

  x +2 = ±√5 . . . . . . take the square root

  x = -2 ±√5 . . . . . . subtract 2. This is the solution.

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For the problem in the picture, replace x with p in the above.