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anonymous

  • one year ago

A quadratic equation is shown below: 9x2 - 16x + 60 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. Part B: Solve 4x2 + 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. Part C: Solve 2x2 -12x + 5 = 0 by using a method different from the one you used in Part B. Show the steps of your work.

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  1. anonymous
    • one year ago
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    @Hero

  2. anonymous
    • one year ago
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    for part a would I solve by using the quadratic formula? @Hero

  3. anonymous
    • one year ago
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    then for part b by finding the zeros?

  4. anonymous
    • one year ago
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    and for part c by completing the square?

  5. Hero
    • one year ago
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    Yes, use the quadratic formula for part A

  6. anonymous
    • one year ago
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    ok hang on one sec

  7. Hero
    • one year ago
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    Try factoring for part B

  8. Hero
    • one year ago
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    Complete the Square for part C

  9. anonymous
    • one year ago
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    this is what I got for part A what does it mean??

  10. anonymous
    • one year ago
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    ok factor for part b: (2x+5)(2x−1) which shows the x-intercepts of x=−5/2,1/2

  11. Hero
    • one year ago
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    Actually, what I believe you're supposed to do is use b^2 - 4ac to determine if part A has any real solutions.

  12. anonymous
    • one year ago
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    Part C: x=3± 26‾‾‾√ 2

  13. Hero
    • one year ago
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    If b^2 - 4ac is negative, then the solutions for the equation for part A are not real.

  14. anonymous
    • one year ago
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    ok thats what I did but i got that answer, so woulf that mean that it has no solutions??

  15. anonymous
    • one year ago
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    so are they negative?

  16. Hero
    • one year ago
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    Compute b^2 - 4ac

  17. anonymous
    • one year ago
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    there is not solutions because when you plug in 16^2 -4(9)(60) you get 32 - 2160 = -2128

  18. anonymous
    • one year ago
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    @Hero

  19. Hero
    • one year ago
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    Well, whatever the number is, it IS negative, but the number is not correct.

  20. anonymous
    • one year ago
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    would i only show my work up to there and then determine that there is no solutions @Hero

  21. Hero
    • one year ago
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    I believe that's the intent, yes.

  22. anonymous
    • one year ago
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    ok thank you and for part b and c factor one and complete the square for the other?

  23. Hero
    • one year ago
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    Yes, correct.

  24. anonymous
    • one year ago
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    but what would i put to say why i choose it?

  25. anonymous
    • one year ago
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    also I have another question for you can you help? @Hero

  26. Hero
    • one year ago
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    Post it as a separate question.

  27. anonymous
    • one year ago
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    @TheSmartOne what would I write to say why I choose factoring for part b and completing the square for part c?

  28. TheSmartOne
    • one year ago
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    Because there are only 3 ways to solve a quadratic equation - Factoring, Completing the Square, and the Quadratic Formula so you had to chose one of them, and then chose another method. :)

  29. anonymous
    • one year ago
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    thanks so much! @TheSmartOne

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