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RH Group Title

When solving the polynomial inequality 4x^5 - 18x^4 + 18x^3 ≥ 0 how many graphs will you draw before you draw your final graph? A. two B. four C. five D. six

  • one year ago
  • one year ago

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  1. RH Group Title
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    Please help! :(

    • one year ago
  2. DHASHNI Group Title
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    http://www.wolframalpha.com/input/?i=4x%5E5+-+18x%5E4+%2B+18x%5E3+%E2%89%A5+0&dataset=

    • one year ago
  3. amir.sat Group Title
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    4x^5 - 18x^4 + 18x^3 ≥ 0 divide it by x^2 so it's 4x^3 - 18x^2 + 18x ≥ 0 for the x>0 it's 4x^2 - 18x + 18 ≥ 0 (first graph) and for the x <0 it's 4x^2 - 18x + 18 < 0 (second graph) if you draw the first graph the the impossible rations for x>0 is \[\left( 0 , 1.5 \right) \cup \left( 3 , \infty \right) \cup \ { 0 , 1.5 , 3}\] but the second graph for the x<0 doesn't have any rations so the total answer is \[\left( 0 , 1.5 \right) \cup \left( 3 , \infty \right) \cup \ { 0 , 1.5 , 3}\]

    • one year ago
  4. RH Group Title
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    @amir.sat Sorry I don't understand :(

    • one year ago
  5. amir.sat Group Title
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    which part?

    • one year ago
  6. RH Group Title
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    Now I understand, so when solving the inequality, 2 graphs will be drawn before the final graph?

    • one year ago
  7. amir.sat Group Title
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    the point is that you divide an inequality by variable that can be negative you should separate it to two inequality one for the negative variable and one for the positive variable

    • one year ago
  8. RH Group Title
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    Hmm... ok

    • one year ago
  9. RH Group Title
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    then what would be the right answer?

    • one year ago
  10. amir.sat Group Title
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    all of 'em i meant the sum of each seperated graph's answer

    • one year ago
  11. RH Group Title
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    Sorry, I am confused:(

    • one year ago
  12. amir.sat Group Title
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    you separated the inequality into two inequality when you divide it by a variable i meant the answer is the sum of the separated inequality's answer

    • one year ago
  13. RH Group Title
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    So the right answer would be A ?

    • one year ago
  14. amir.sat Group Title
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    oh sorry .yes it's A i didn't see the options , i just thought it's just the questions

    • one year ago
  15. RH Group Title
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    No prob. Thank you a lot!!! :)

    • one year ago
  16. amir.sat Group Title
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    ur welcome

    • one year ago
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