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Ifα and β are the zeroes of the polynomial x²+5x+6,then the value of 1/α+1/β+αβ is *

Posted by Suhas M 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

........ ...... 5 years, 1 month ago

Here, a=1,b=5,c=6 alpha+beta=-b/a =-5/1 Alpha+beta=-5,.......(i) And alpha×beta=c/a=6/1 Alpha×beta=6.......(ii) Now, 1/alpha+1beta+alpha×beta= Beta+alpha/alpha×beta+alpha×beta =-5/6+6 (from equation i and ii) =31/6 .......It may helpful to you

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