A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Choose any four (4) of the five radical equations below. Solve each equation, showing all steps leading to your answer. Then check your answer to determine if any of the solutions are extraneous 1. √5x - x = 0 2. √(2x + 1) + 1 = x 3. √(3x - 2) + 3 = 4x can someone please help me solve it ?

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

    steps isolate the radicand to one side of the equation. remember whatever you do to one side also do to the other square each side to get rid of the radicand and maintain the balance isolate the terms with the variable to one side simplify if possible divide by the coefficient of the variable take a minute to review then I'll walk you through one after which you can try the others on your own and I will verify if you show your work and ask me to

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

    |dw:1441428621396:dw|

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

    problem 3 the radicand is labeled to isolate by subtracting 3 square each side and simplify. this gives a quadratic we can solve by factoring/completing the square/ graphing/matrices or using the formula. minor note to the steps I wrote if it was a linear equation divide by the coefficient of the variable if like in this case you have a quadratic solve using one of the 5 methods

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

    are you with me?

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

    do you know how to solve quadratic equations?

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

    do we factor it ?

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

    yes one of the methods

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

    wait , i am bit lost . when u square (4x - 3)^2 , isn't the answer 16x^2 - 12x + 9 ?

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

    good catch thanks |dw:1441430085255:dw|

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

    |dw:1441430227757:dw|

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

    so now we factor it ?

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

    how do we factor it ?

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

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

    I am going to use the formula

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

    |dw:1441430939433:dw|

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

    |dw:1441430974635:dw|

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

    reply with above and identify your a, b, c

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

    ok so a = 16 , b = 27 , c = 11 right ?

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

    then using the above formula we will have : |dw:1441431330504:dw|

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

    |dw:1441431722636:dw|

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

    |dw:1441431470048:dw|

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

    |dw:1441431767526:dw|

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

    is my answer correct ?

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

    |dw:1441431858754:dw|

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

    it can't be because you have the wrong C

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

    |dw:1441432220054:dw|

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

    isn't 2 + 9 = 11 ? since 3x - 2 = 16x^2 - 24x + 9 16x^2 - 24x - 3x + 9 + 2 = 16x^2 - 27x + 11 ?

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

    think we have another error the graph shows 2.027

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

    think I am too tired to be on here but happy you grasp something sorry need to be off right now

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

    ok so i think i am understanding the question number 3. thank you so much for ur help

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

    i was hoping u would help in question number 1 or 2 ? but if ur busy then its ok

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

    For question 1: rewrite your function: \(\sqrt{5}x-x=0\) \[(\sqrt{5}-1)x=0\]\[\boxed{x= \frac{0}{\sqrt{5}-1} = 0}\]

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

    Is it \(\sqrt{5}x\) or \(\sqrt{5x}\)?

  34. 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.