A community for students.
Here's the question you clicked on:
 0 viewing
JozelynW
 one year ago
Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model.
JozelynW
 one year ago
Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model.

This Question is Closed

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0How to make a extraneous solution?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0do you know how to write a extraneous radical equation

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0extraneous sol is solution that is not in the domain of the equation you started with

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0well, then how do I create a radical extraneous equation?

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0consider the following equation \(\sqrt{\frac{x+1}{x}}=\sqrt{\frac{1}{x}}\) see that x=0 is not in the domain try to solve that equation

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0it is easier to create an equation with correct solution (not extraneous )

welshfella
 one year ago
Best ResponseYou've already chosen the best response.03 sqrt(7 + 2x) = 24 sqrt(7 + 2x) = 8 square both sides 7 + 2x = 64 2x = 57 x = 57/2 now plug in x = 57/2 and see if it satisfies the original equation

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0consider the following equation \(\sqrt{x+1}=\sqrt{3x1}\) solution is \(x=1\) if we check it on the equation we it checks out

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0it wants me to use this equation a√x+b+c=d

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0you just said radical equation you did specify any details

xapproachesinfinity
 one year ago
Best ResponseYou've already chosen the best response.0well at any rate check @welshfella work

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0I know because then you would just be giving me answers and then people would be thinking that im cheating

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0a negative number times a radical will give an extraneous solution

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0so i just wanted to know how to create a radical extraneous equation

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0can you give me an example

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0if you plug in 57/2 into the above it won't give you 24

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0no  ones like that will give an extraneous solution When you square you get a positive result so a negative value can get 'lost'.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.03 * sqrt(7 + 28.5) = 17.87

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0what do you mean sqrt ? sqrt of 3

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0do you see that this is an extraneous solution?

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0square root of (7 + 28.5)

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0i do it equals 17.87

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0wait did something wrong

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0sqrt of 35.5 =5.95 and 5.95 times 3 equals 17.87

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0yes that is correct so 28.5 is not a solution its extraneous

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0now one that does not have an extraneous solution would be sqrt(4x + 1) = 7 so 4x + 1 = 49 4x = 48 x = 12 which will fit the original equation

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0here is a link which deals with the subject http://www.purplemath.com/modules/solverad2.htm

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0you said " which will fit the original equation"

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0I meant if you replace x by 12 in the original equation then the equation will balance the left side will equal 7

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0sqrt(4*12 + 1) = sqrt 49 = 7

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0so x = 12 is a valid solution

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0so the rule to this is.......

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0a negative value as above will give an extraneous solution. But there' more to it than that that's why i posted the link. Some equations will have one valid and one extraneous solution , for example.

welshfella
 one year ago
Best ResponseYou've already chosen the best response.0sorry but i have to go now

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0thank you so much for you help @welshfella
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.