SOLUTION: Good afteroon. I have a question regarding completing the square. Here is the equation: {{{9x^2-18x=-3}}} I keep coming up with x= 1 plus minus .816 but in class the answer wa

Question 210452: Good afteroon. I have a question regarding completing the square. Here is the equation:
I keep coming up with x= 1 plus minus .816 but in class the answer was x=3+square root 6 over 3 and x=3-square root 6 over 3. Does that seem correct? If so I just don't know how it got that way? Any help would be appreciated. :)
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
I am not sure what they are doing in class, but you got it right.

Divide each term by 9 to get x^2 term to have coefficient of 1:

Divide coefficient of x by 2 and square. add result to both sides:

Represent left side as perfect square:

Take square root of each side:
x-1=+-sqrt(2/3)
Solve for x:
x=1+-sqrt(2/3)
===============
Good Luck,
tutor_paul@yahoo.com

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