SOLUTION: Construct the quadratic equation of roots 3+root5 n 3-root5

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Question 1074984: Construct the quadratic equation of roots 3+root5 n 3-root5
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
...quadratic equation of roots 3+SQUAREroot(5) AND 3-SQUAREroot(5)



%28x-%283%2Bsqrt%285%29%29%29%28x-%283-sqrt%285%29%29%29=0

%28%28x-3%29-sqrt%285%29%29%28%28x-3%29%2Bsqrt%285%29%29=0

%28x-3%29%5E2-5=0, or you can fully multiply the square part and simplify the left side.