Will mark as brainliest. solve the equation p^2 + 4p = 1 by completing the square. show your work.

First, add 1 to both sides of the equations  take the coefficient of p, which is 4, divide by 2, giving 2, and finally square it giving 4.  second, add 4 to both sides of the equation to get p^2+4p+4=5adding 4 has completed the left hand side into a perfect square: p^2+4p+4 =  (p+2)*(p+2) =  (p+2)^2things which are equal to the same thing are also equal to each other sincep^2+4p+4 = 5 andp^2+4p+4 = (p+2)^2then, according to the law of transitivity,(p+2)^2 = 5now, taking the square roots of both sides, we getp+2 =  √  5since a square root has two values, one positive and the other negativep2  + 4p - 1 = 0has two solutions: p = -2 + √  5  orp = -2 - √  5