A quadratic polynomial whose zeros are (3+√5)&(3-√5) is

Asked by deepthisanth | 3rd May, 2021, 08:00: PM

Expert Answer:

begin mathsize 16px style straight alpha space plus space straight beta space equals space 3 space plus space square root of 5 plus space 3 space minus space square root of 5 space equals space 6 space space.... left parenthesis 1 right parenthesis
αβ space equals open parentheses space 3 space plus space square root of 5 close parentheses open parentheses space 3 space plus space square root of 5 close parentheses equals space 9 space minus space 5 space equals space 4 space space space.... space left parenthesis 2 right parenthesis
The space required space quadratic space polynomial space is space
straight x squared minus space open parentheses straight alpha space plus space straight beta close parentheses straight x space plus space αβ space
equals straight x squared minus 6 straight x space plus space 4 space space space space space space space space space space space space space space space space space space space space..... from space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis end style

Answered by Yasmeen Khan | 3rd May, 2021, 10:26: PM