A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

given the following quadratic inequality solve. x^2+17x+72>0

  • This Question is Closed
  1. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Raise x to the 2nd power

  2. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (x2 + 17x) + 72 > 0

  3. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Simplify x2+17x + 72

  4. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Factor x2+17x+72

  5. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The first term is, x2 its coefficient is 1 . The middle term is, +17x its coefficient is 17 . The last term, "the constant", is +72

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is it x<-9 and x>-8 or is it x<-9 or x>-8?

  7. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Step-1 : Multiply the coefficient of the first term by the constant 1 • 72 = 72 Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is 17 .

  8. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    -72 + -1 = -73 -36 + -2 = -38 -24 + -3 = -27 -18 + -4 = -22 -12 + -6 = -18 -9 + -8 = -17 -8 + -9 = -17 -6 + -12 = -18 -4 + -18 = -22 -3 + -24 = -27 -2 + -36 = -38 -1 + -72 = -73 1 + 72 = 73 2 + 36 = 38 3 + 24 = 27 4 + 18 = 22 6 + 12 = 18 8 + 9 = 17 That's it

  9. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 8 and 9 x2 + 8x + 9x + 72

  10. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Step-4 : Add up the first 2 terms, pulling out like factors : x • (x+8) Add up the last 2 terms, pulling out common factors : 9 • (x+8)

  11. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Step-5 : Add up the four terms of step 4 : (x+9) • (x+8) Which is the desired factorization

  12. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    (x + 9) • (x + 8) > 0

  13. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Solve (x+9)•(x+8) > 0

  14. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    there

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i know i solved it i just need to know if its x<-9 AND x>-8 or is it x<-9 OR x>-8?

  16. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh

  17. ali2x2
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    well my answer tells u c;brb

  18. 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

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.