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- anonymous

Solve the equation by completing the square.
6x^2-x-5=0
So far i got
x^2-1/6x-5/6=0
x^2-1/6x=5/6
Now i dont understand this step by
add the square of half of -1/6 to both sides
I dont understand what that means please help

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- anonymous

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- anonymous

why?....

- pooja195

Cant we just factor it?

- anonymous

okay

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- pooja195

- anonymous

@pooja195 i have the steps and it says add the square of half of -1/6 to both sides but i dont understand how that answer is 1/144

- pooja195

hmm im not sure how to do it that way @Loser66 might know :3

- anonymous

This is what it says by the way http://prntscr.com/7dnq4a

- Loser66

you are good until \(x^2 -(1/6)x -(5/6)=0\)
Now, I pick the middle term to say, ok? to have a complete the square, you have formula
\((x-a)^2 = x^2 -2ax+a^2\) right? your middle term is (1/6) x, right?

- Loser66

so, to find a, the term we need to have the complete square, I do
\(2a x = \dfrac{1}{6}x\), hence \(2a=\dfrac{1}{6}\), so \(a =\dfrac{1}{12}\) so far so good?

- anonymous

erm erm @Loser66 ok like what you saying sounds good lol but like i have to follow this way :S did you see the picture i posted ? http://prntscr.com/7dnq4a

- Loser66

Now, the original one
\(x^2 -2 (\dfrac{1}{12}) x +\color{red}{(\dfrac{1}{12})^2} - \color{red}{(\dfrac{1}{12})^2}-\dfrac{5}{6}=0\)

- Loser66

@Tyler1204 it is not "sounds good". I explained you why 1/144 appears.

- anonymous

OH OH erm ok let me re read then lol sorry

- Loser66

You killed my feeling.

- anonymous

Grrr im still confused because for me it dos not say anything about that formula you said :/ (x-a)^2=x^2-2ax+a^2
Did you open the picture? because like i have to follow what it says :S

- anonymous

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