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

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Question 759076: Find a quadratic equation having 3+sqrt3 and 3-sqrt3 as roots.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713)   (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
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Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Find a quadratic equation having 3+sqrt3 and 3-sqrt3 as roots.
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