SOLUTION: If 2 + √3 is one root of xpower2 + px + q = 0 Then p and q are:

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Question 973547: If 2 + √3 is one root of xpower2
+ px + q = 0 Then p and q are:
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2Bpx%2Bq=0 has the two solutions,
%28-p%2Bsqrt%28p%5E2-4q%29%29%2F2 and %28-p-sqrt%28p%5E2-4q%29%29%2F2.

You can do something with the (1/2) factor on the PLUS-form of the solution, and be able to make a comparison to the given numeric root( or solution).

.... you see?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

If 2 + √3 is one root of xpower2
+ px + q = 0 Then p and q are:
highlight_green%28system%28p+=+-+4_and%2Cq+=+1%29%29, so equation: highlight%28x%5E2+%2B+px+%2B+q+=+0%29 becomes: highlight%28x%5E2+-+4x+%2B+1+=+0%29