Find a quadratic polinomial whose zeroes are:2 plus-or-minus square root of 3.

Asked by bansari Butani | 16th Jul, 2014, 12:21: PM

Expert Answer:

T h e space r o o t s space o f space t h e space e q u a t i o n space a r e space g i v e n space a s space alpha space equals space 2 space plus square root of 3 space a n d space beta space equals space 2 space minus square root of 3.  Q u a d r a t i c space E q u a t i o n space f o r m e d space w i t h space t h e space r o o t s space a s space space alpha space a n d space beta : space x squared space minus space left parenthesis alpha plus beta right parenthesis x space plus space alpha beta space equals space 0 alpha plus beta space equals space 2 space plus square root of 3 space plus space 2 space minus square root of 3 space equals space 4   alpha. beta space equals space space left parenthesis 2 space plus square root of 3 right parenthesis end root space left parenthesis 2 space minus square root of 3 right parenthesis space equals space left parenthesis 2 right parenthesis squared space minus space left parenthesis square root of 3 right parenthesis squared space equals space 4 space minus space 3 space equals space 1  S u b s t i t u t i n g space t h e space v a l u e s space i n space t h e space e q u a t i o n space w e space g e t comma x squared space minus space 4 x space plus space 1 space equals space 0  T h i s space t h e space r e q u i r e d space q u a d r a t i c space e q u a t i o n.

Answered by Mili Hariyani | 16th Jul, 2014, 03:09: PM

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