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apoorvk
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Determine all such integers a and b for which one of the roots of 3x^3+ax^2+bx+12=0 is equal to 1 + 3^(1/2).
 2 years ago
 2 years ago
apoorvk Group Title
Determine all such integers a and b for which one of the roots of 3x^3+ax^2+bx+12=0 is equal to 1 + 3^(1/2).
 2 years ago
 2 years ago

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dpaInc Group TitleBest ResponseYou've already chosen the best response.2
if 1+sqrt3 is a root then so is 1sqrt3: (x(1+sqrt3))(x(1sqrt3))*P(x) = 0 (x^2  2x 2)*P(x) = 0 P(x) must be linear in the form: (mx + n). So now you can mutiply out: (x^2 2x  2)*(mx + n). now equate the two expressions coeficient to coeficient an I got a = 12, b = 6.
 2 years ago

apoorvk Group TitleBest ResponseYou've already chosen the best response.0
thanks buddy.... can you also check out my previous question??
 2 years ago

apoorvk Group TitleBest ResponseYou've already chosen the best response.0
on my profile page
 2 years ago
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