Question

Solve x2+4x=1 by Completing the square

Answer 1

x = -2 ±√5

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.

__

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