Thread: Solve each Equation by Completing the Square.

Solve each equation by completing the square.

3p^2-12p+2=0(divide 3 to sides)
p^2-4p+2/3=0
p^2-4p+4=-2/3+4

I am lost after this

I am not sure if I am doing this right because the answer is going to be 6-+√30/3

Carrying on from where you are (p-2)^2=10/3 So p-2=+or-root(10/3)
root(10/3)=root10/root3 Multiply top and bottom by root3 gives root10root3/3=root30/3 So positive answer is 2+root30/3= (6+root30)/3

Are you saying that you do not know how to add fractions? Surely not! Get a common denominator: -2/3+ 4= -2/3+ 12/3= 10/3.

Of course, the whole point of "completing the square" is that the left side is now a "perfect square":
p^2- 4p+ 4= (p- 2)^2= 10/3. Take the square root of both sides.