Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

angelwings996

  • 3 years ago

What is the number of real solutions? -11x^2 = x + 11

  • This Question is Closed
  1. dumbcow
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    first set equal to zero second find discriminate (b^2 -4ac) third, if discriminate >0 : 2 real solutions if discriminate =0: 1 real solution if discriminate <0 : no real solutions

  2. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    would the equation be -11x^2 - x - 11 = 0 ?

  3. dumbcow
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes or you can get rid of the neg --> 11x^2 +x+11 = 0

  4. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, now what would I do?

  5. dumbcow
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    find Discriminant http://en.wikipedia.org/wiki/Discriminant

  6. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Compare your quadratic equation with \(ax^2+bx+c=0\) find a,b,c then calculate \(b^2-4ac=...?\)

  7. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    don't I already have a, b, and c so would I just substitute them into b^2 - 4ac ?

  8. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what u got, a=..? b=...?c=..?

  9. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    doesn't a = 11, b = 1, and c = 11 ?

  10. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thats correct, now as @dumbcow said, u just need to find whether b^2-4ac is positive or negative...

  11. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so if I plug it in would it be like this .... \[1 ^{2} - 4(11)(11)\]

  12. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, go on.

  13. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay so \[1^{2} = 1 and -4(11) = -44(11) = -484\] Then you would subtract -484 from 1 which gives you -483, right ?

  14. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, so how many real solutions ?

  15. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    since -483 is less than 0 would it be no real solutions?

  16. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    absolutely correct :)

  17. angelwings996
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay thank you so much for both of your helps!

  18. hartnn
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    welcome ^_^

  19. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy