SOLUTION: Write a Quadratic equation with rational coefficients if one root is 4+sqrt( 5 ). Please and Thank you!

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Question 684079: Write a Quadratic equation with rational coefficients if one root is 4+sqrt( 5 ).
Please and Thank you!
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
If 4%2Bsqrt%285%29 is a root, then so is 4-sqrt%285%29;
...
x = 4%2B-sqrt%285%29
x - 4 = +/- sqrt%285%29
...
%28x-4%29%5E2+=+sqrt%285%29%5E2
%28x-4%29%5E2+=+5
...
x%5E2-8x%2B16+=+5
highlight_green%28x%5E2-8x%2B11=0%29
.....................
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