How do you solve x22x14=0 by completing the square?

1 Answer
Jul 27, 2017

x=±15+1

Explanation:

First, you have to move the 14 to the other side by adding it :

x22x=14

To complete the square you divide the term with one x by 2 and then take that number and square it :

22=1 , 12=1

We then take that 1 and add it to both sides of the equation :

x22x+1=15

Now we can factor the left side of the equation :

(x1)2=15

Take the square root of both sides to get rid of the square on the left hand side (be sure to add the ± on the 15) :

(x1)2=±15

which then equals...

x1=±15

Now get x by itself :

x=±15+1