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Form a quadratic polynomial whose zeroes are 3 - sqrt(3)/5 and 3 + sqrt(3)/5.

 Aug 29, 2020
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Since the zeros are 3 - sqrt(3)/5 and 3 + sqrt(3)/5 (I am assuming that sqrt(3)/5 is the fraction, not (3 + sqrt(3))/5. If it is the latter, please specify, but I will include both answers) we can safely say that the factored form of the quadratic is:

 

If sqrt(3)/5 is the fraction:

 

(x - 3 + sqrt(3)/5)(x - 3 - sqrt(3)/5)

 

Expanded out, this would be:

 

 x^2 - 6 x  + 222/25

 

Graph :


 

If the whole thing is a fraction:

 

(x - (3 + sqrt(3))/5)(x - (3 - sqrt(3))/5)

 

Expanded out, this would be:

 

x^2 - (6 x)/5 + 6/25

 

Graph : 

 

:)

 Aug 29, 2020
edited by ilorty  Aug 29, 2020

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