An algebra problem by Elmer Fei

Algebra Level 4

Given that 4 − 2 3 \sqrt{4-2\sqrt 3} is a root of x 2 + a x + b = 0 x^2+ ax +b = 0 . Find the value of a + b a+b .


The answer is 0.

Elmer Fei by Elmer Fei , 20, Canada

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1 solution

Elmer Fei
Dec 22, 2014

The solution is provided on the image

https://d18l82el6cdm1i.cloudfront.net/uploads/GKtcpqaV5q-image.jpg

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Abdur Rehman Zahid - 6 years, 5 months ago

You did not specify enough about a a and b b . If you assume they are rational, then this conclusion is true. But for a a and b b in the reals or complex numbers, the conclusion is not true.

James Wilson - 3 years, 4 months ago

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