Question
upstudy study bank question image url

Which of these equations has the extraneous root ?

Ask by Park Frank. in Mexico
Dec 02,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Para encontrar la ecuación con la raíz extránea , evalúa cada ecuación con y comprueba si cumple con la ecuación original.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To identify an extraneous root, let’s consider the equation . When we solve it, we find . If we also plug this back into a more complex function or an equation with rational expressions, we might find that it doesn’t satisfy the original equation due to undefined values or contradictions, indicating that is an extraneous solution. Always check the context of where the solutions apply!
For example, in rational expressions, if we had and solved for , we would find but notice that it makes the denominator zero, proving it’s extraneous in that context. Never forget to check your solutions against the original equation!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy