Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kitsune0724

  • 2 years ago

how do you solve 3/x+1 +2/x+3 =2? Please show me step by step. Thank you.

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

    \[\text{Is this the question?}\frac3{x + 1} + \frac{2}{x + 3} = 2\]

  2. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes please.

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

    \[\frac3{x + 1} + \frac{2}{x + 3} = 2\]\[\frac{3}{x + 1} \times \frac{x + 3}{x + 3} + \frac{2}{x + 3} \times \frac{x + 1}{x + 1} = \frac{2}{1} \times \frac{(x + 1)(x + 3)}{(x + 1)(x + 3)}\]\[\frac{3(x + 3) + 2(x + 1)}{x^{2} + 4x + 3} = \frac{ 2(x^{2} + 4x + 3)}{x^{2} + 4x + 3}\]You can just drop the denominator now. \[3(x + 3) + 2(x + 1) = 2(x^{2} + 4x + 3)\]Can you solve it now?

  4. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let me see...

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

    Did you get it yet?

  6. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the next step please?

  7. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[3x + 9 + 2x + 2 = 2x^{2} + 8x + 6\]\[2x^{2} + 3x - 5 = 0\]

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

    Can you solve the quadratic?

  9. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes.

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

    What did you get?

  11. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i'm still doing it.

  12. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[3\pm i \sqrt{31} \over 4\] is that right?

  13. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    No. \[3x + 9 + 2x + 2 = 2x^{2} + 8x + 6\]\[2x^{2} + 3x - 5 = 0\]\[2x^{2} -2x + 5x - 5 = 0\]\[2x(x - 1) + 5(x - 1) = 0\]\[(2x + 5)(x - 1) = 0\]\[x = -\frac{5}{2}, 1\]

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

    Do you see how I got that?

  15. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes.

  16. kitsune0724
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you for your help.

  17. Calcmathlete
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    np :)

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.