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Destinyyyy

  • one year ago

Simplify the equation. The solve by the quadratic formula.

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  1. Destinyyyy
    • one year ago
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    x(x+6)=-54

  2. Destinyyyy
    • one year ago
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    x^2+6x=-54 x^2+6x+54=0 -(6)+- square root (6)^2 -4(1)(54)/2(1) -6+- square root 36-216/2 -6+- square root -180/2

  3. Destinyyyy
    • one year ago
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    -6+- square root 9*20/2 -6+- 3i square root 20/2

  4. Destinyyyy
    • one year ago
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    Im stuck there.

  5. Destinyyyy
    • one year ago
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    Yes there is.. The final answer is -3+-3i square root 5

  6. rishavraj
    • one year ago
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    see yeah theres solution

  7. rishavraj
    • one year ago
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    see D = -180 so \[x = \frac{ -6 \pm \sqrt{-180} }{ 2 }\]

  8. Destinyyyy
    • one year ago
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    Yes.

  9. Destinyyyy
    • one year ago
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    Wow thanks for not helping.

  10. jim_thompson5910
    • one year ago
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    hint: \[\Large \sqrt{20} = \sqrt{4*5}\] \[\Large \sqrt{20} = \sqrt{4}*\sqrt{5}\] \[\Large \sqrt{20} = 2*\sqrt{5}\]

  11. Destinyyyy
    • one year ago
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    What???

  12. jim_thompson5910
    • one year ago
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    You got to \[\Large x = \frac{-6 \pm 3i\sqrt{20}}{2}\]

  13. Destinyyyy
    • one year ago
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    Yes..

  14. jim_thompson5910
    • one year ago
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    the root 20 can be replaced \[\Large x = \frac{-6 \pm 3i*\sqrt{20}}{2}\] \[\Large x = \frac{-6 \pm 3i*{\color{red}{\sqrt{20}}}}{2}\] \[\Large x = \frac{-6 \pm 3i*{\color{red}{2\sqrt{5}}}}{2}\]

  15. jim_thompson5910
    • one year ago
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    then you can factor out 2 from the numerator and cancel the '2's

  16. Destinyyyy
    • one year ago
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    Then that would leave me with -6+- 3i square root 5

  17. jim_thompson5910
    • one year ago
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    you factor out 2 from the -6 as well \[\Large x = \frac{-6 \pm 3i*2\sqrt{5}}{2}\] \[\Large x = \frac{2(-3 \pm 3i\sqrt{5})}{2}\]

  18. Destinyyyy
    • one year ago
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    Okay.. So I didnt mess up any where.. Thank you @jim_thompson5910

  19. jim_thompson5910
    • one year ago
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    you're welcome

  20. jim_thompson5910
    • one year ago
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    I think you meant to say `-3+- 3i square root 5` if so then you are correct since the answers are \[\Large x = -3\pm3i\sqrt{5}\]

  21. Destinyyyy
    • one year ago
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    Yes I did

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