SOLUTION: Find a quadratic equation having 3+sqrt3 and 3-sqrt3 as roots.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Find a quadratic equation having 3+sqrt3 and 3-sqrt3 as roots.       Log On


   

Question 759076: Find a quadratic equation having 3+sqrt3 and 3-sqrt3 as roots.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is a root of a polynomial equation, then is a factor of the polynomial.

and are the factors of your polynomial. Just multiply them. Hint: Treat as single numbers. Remember the product of a pair of conjugates is the difference of two squares.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find a quadratic equation having 3+sqrt3 and 3-sqrt3 as roots.
--------------
%28x+-+3+-+sqrt%283%29%29%2A%28x+-+3+%2B+sqrt%283%29%29+%2B+0
x%5E2+-+6x+%2B+6+=+0