Solve p^2+4p=1 by completing the square?
Mathematics · High School · Thu Feb 04 2021
Answered on
given equation:- p^2+4p=1
to completing the square, we have to make some changes that not effect the equation it means we have to add or remove something in both left and right side .
so what we can do here?
in left side we can make a square like (x+y)^2 and to do this we have to use a number that is a square that is a number .
we can use number 4 by adding both sides :-
p^2+4p+4=1+4
left side we get (p+2)^2= p^2+4p+4 so, next we can write this:-
(p+2)^2=5
to remove square in left side we have to divide the power of both side by 2 .
(p+2)^2/2=5^½
p+2=5^½
p= -2+ 5^½