A community for students.
Here's the question you clicked on:
 0 viewing
Truman
 3 years ago
Find the quadratic equation whose solutions are:
2 + sqr(5) and 2  sqr(5)
I'm not just looking for an answer but rather to learn.
Truman
 3 years ago
Find the quadratic equation whose solutions are: 2 + sqr(5) and 2  sqr(5) I'm not just looking for an answer but rather to learn.

This Question is Closed

Truman
 3 years ago
Best ResponseYou've already chosen the best response.0\[2+ \sqrt{5} and 2  \sqrt{5}\]

amitlpu91
 3 years ago
Best ResponseYou've already chosen the best response.1equation bcam x^2  (a+b)x+ a.b =0 take a=2+sqr 5 , b=2sqr 5

Truman
 3 years ago
Best ResponseYou've already chosen the best response.0\[x ^{2}  (a+b)x + ab = 0?\]

Truman
 3 years ago
Best ResponseYou've already chosen the best response.0this is from an example in my book, but I don't understand the example:

amitlpu91
 3 years ago
Best ResponseYou've already chosen the best response.1tis what any quarratic equation can be form...

amitlpu91
 3 years ago
Best ResponseYou've already chosen the best response.1if their two roots are given .got it ...now

Truman
 3 years ago
Best ResponseYou've already chosen the best response.0that's the example from the book

amitlpu91
 3 years ago
Best ResponseYou've already chosen the best response.1yea ........now plug in...

imperialist
 3 years ago
Best ResponseYou've already chosen the best response.0If you are given 2 (or more than 2, it doesn't matter) roots of a polynomial, say a and b in this case, then that just means if you were to factor your polynomial, you would get \[f(x)=(xa)(xb)\] By multiplying this together, you get the equation \[x^2(a+b)+ab\] Thus, in your example, you would just plug in \[a=2+\sqrt{5}, b=2\sqrt{5}\] to the above equation to reach your answer.

Truman
 3 years ago
Best ResponseYou've already chosen the best response.0that's the books example typed out,

Truman
 3 years ago
Best ResponseYou've already chosen the best response.0thank you, i'm trying it
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.