A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
determine an equation in simplified form for the family of quartic functions with zeros 1√5 and 1+√5 and 2+√2 and 2√2
anonymous
 5 years ago
determine an equation in simplified form for the family of quartic functions with zeros 1√5 and 1+√5 and 2+√2 and 2√2

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0r u getting any help?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We first find a quadratic equation with \[1\sqrt{5}\] and \[1+\sqrt{5}\] as roots. We find the sum and product of the roots. Sum of roots:  2 Product of roots:  4 Now, we reverse the sign of the sum of the roots. That is 2. The equation is \[x^2 +2x4=0\]. For the second quadratic equation. The equation must have \[2+\sqrt2 \] and \[2\sqrt2\] as roots. Sum of roots: 4 Product of roots: 2 Again, invert the sign of the sum of roots. That is  4. The equation is \[x^2 4x+2=0\]. Multiply: \[(x^2 + 2x  4)(x^2 4x + 2) = 0\]. Then, the result is your final answer. Hope this helps a lot :)
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.