The question is on the picture😊

Asked by tripathyabhishek366 | 3rd Jan, 2020, 05:08: PM

Expert Answer:

It is given that α<1<β
that meeans x = 1 lies between the roots
hence 
(2a+1)(f(1))<0
open parentheses 2 straight a plus 1 close parentheses open parentheses open parentheses 2 straight a plus 1 close parentheses open parentheses 1 close parentheses squared minus straight a open parentheses 1 close parentheses plus straight a minus 2 close parentheses less than 0
open parentheses 2 straight a plus 1 close parentheses open parentheses 2 straight a plus 1 minus straight a plus straight a minus 2 close parentheses less than 0
open parentheses 2 straight a plus 1 close parentheses open parentheses 2 straight a minus 1 close parentheses less than 0
open parentheses 4 straight a squared minus 1 close parentheses less than 0
straight a squared less than plus-or-minus 1 fourth
fraction numerator negative 1 over denominator 2 end fraction less than straight a less than 1 half

Answered by Arun | 16th Jan, 2020, 10:12: AM

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