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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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    why?....

  2. pooja195
    • one year ago
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    Cant we just factor it?

  3. anonymous
    • one year ago
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    okay

  4. pooja195
    • one year ago
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    @Tyler1204 ?

  5. anonymous
    • one year ago
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    @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

  6. pooja195
    • one year ago
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    hmm im not sure how to do it that way @Loser66 might know :3

  7. anonymous
    • one year ago
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    This is what it says by the way http://prntscr.com/7dnq4a

  8. Loser66
    • one year ago
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    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?

  9. Loser66
    • one year ago
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    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?

  10. anonymous
    • one year ago
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    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

  11. Loser66
    • one year ago
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    Now, the original one \(x^2 -2 (\dfrac{1}{12}) x +\color{red}{(\dfrac{1}{12})^2} - \color{red}{(\dfrac{1}{12})^2}-\dfrac{5}{6}=0\)

  12. Loser66
    • one year ago
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    @Tyler1204 it is not "sounds good". I explained you why 1/144 appears.

  13. anonymous
    • one year ago
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    OH OH erm ok let me re read then lol sorry

  14. Loser66
    • one year ago
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    You killed my feeling.

  15. anonymous
    • one year ago
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    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

  16. anonymous
    • one year ago
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    @Loser66

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