How do you solve using the completing the square method 3x2−2x−2=0?

1 Answer
Y
May 10, 2017

Isolate the x terms and complete the square.

Explanation:

First, we start by adding 2 to both sides to isolate the variable terms:
3x2−2x=2

We can use the distributive property to take out a 3 from the left-hand side so we can make the coefficient of the x2 be 1:
3(x2−23x)=2

Now, we can complete the square and simplify:
3(x−13)2−13=2
3(x−13)2=2+13
3(x−13)2=73
(x−13)2=79

Now, we square root both sides and solve for x:
x−13=±√79
x−13=±√73
x=13±√73
x=1±√73

Therefore our solutions are: x=1+√73,1−√73

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