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anonymous

  • 4 years ago

How would you complete the square with -x^2+2x-6=0?

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  1. Hero
    • 4 years ago
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    -x^2+2x-6 = 0 x^2-2x = -6 x^2-2x+1 = -6 +1 (x-1)^2 = -5 x - 1 = sqrt(-5) x = sqrt(-5) - 1 x = + or - i*sqrt(5) - 1

  2. anonymous
    • 4 years ago
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    wouldn't you bring it over to the other side as a positive 6 since you're adding it?

  3. Hero
    • 4 years ago
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    Before you complete the square, it has to be in the form: x^2 + bx = c

  4. anonymous
    • 4 years ago
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    I just noticed you changed the signs to make the x positive, that makes more sense, thank you! does the x always have to be positive before completing the square?

  5. Hero
    • 4 years ago
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    Actually, let me post it a little differently so that the steps are expressed as close to the proper method as possible.

  6. anonymous
    • 4 years ago
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    Alright, because I'll need it for future reference, thank you so much

  7. Hero
    • 4 years ago
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    -x^2+2x-6 = 0 -(x^2-2x +6) = 0 x^2-2x +6 = 0 x^2-2x = -6 x^2-2x+1 = -6 +1 (x-1)^2 = -5 x - 1 = sqrt(-5) x = sqrt(-5) - 1 x = + or - i*sqrt(5) - 1

  8. Hero
    • 4 years ago
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    There we go

  9. anonymous
    • 4 years ago
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    for the ending, why don't you put 1 + or - i*sqrt(5)?

  10. anonymous
    • 4 years ago
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    or isn't that generally the same concept?

  11. Hero
    • 4 years ago
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    x = + or - sqrt(-5)i - 1

  12. Hero
    • 4 years ago
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    What seems to be the trouble. You're familiar with complex numbers right?

  13. Hero
    • 4 years ago
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    Oh, I see

  14. Hero
    • 4 years ago
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    x = + or - sqrt(-5)i + 1

  15. Hero
    • 4 years ago
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    I'm not perfect

  16. anonymous
    • 4 years ago
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    But could the +1 go in the front? Nobodies perfect, I'm in precalc and even my teacher makes simple mistakes. Thank you a lot though this really helped!

  17. anonymous
    • 4 years ago
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    x = 1 + or - i*sqrt(5)?

  18. Hero
    • 4 years ago
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    You can write it that way too

  19. anonymous
    • 4 years ago
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    alright, I tried working it out on my own after I saw you extracted the - from the original equation, and came to that same conclusion. thank you! really, that made complete sense!

  20. Hero
    • 4 years ago
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    Nice

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