A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Solve the Quadratic: 3x^2+10x-8=0

  • This Question is Closed
  1. SolomonZelman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \(\large\color{black}{ {\rm Discriminant}=\sqrt{b^2-4(a)(c)} \\[1.2em]=\sqrt{10^2-4(3)(-8)}=\sqrt{100-(-96)} =\sqrt{196}=14}\)

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

    Dont you have to divide it by 2a?

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

    You can either solve your equation using the *quadratic formula* (I have calculated the discriminant for you) OR, you can factor, because the discriminant is an integer and thus your quadratic can be factored.

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

    I tried factoring but I got confused

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

    *QUADRATIC FORMULA* \(\normalsize\color{ slate }{\Huge{\bbox[5pt, lightcyan ,border:2px solid black ]{ \LARGE{x=~} \huge{ \frac{-\color{magenta}{b} \pm\sqrt{ \color{magenta}{b} ^2-4 \color{blue}{a} \color{red}{c}}}{2 \color{blue}{a}} }~ }}}\) when the equation is \(\LARGE\color{black}{ \color{blue}{a} x^2+ \color{magenta}{b}x+ \color{red}{c}=0 }\)

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

    Could you help me with factoring?

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

    you already know that: \(\large \displaystyle x=\frac{-\color{magenta}{10} \pm14}{2 \color{blue}{(3)}}\)

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

    14 is the value of that entire root, which I calculated in the beginning, and you know that in your case, *a=3* and *b=10*

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

    so is there two answers?Because +- 14

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

    yes, and they are simplifiable.

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

    you can do the rest....

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

    2/3 and -4?

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

    yes, right

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

    thanks

  15. 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.