Grade 12th passAlgebra
x*e^-x +1=0. find no.of roots in {-1,-1/2}
x*e^-x +1=0. find no.of roots in {-1,-1/2}
1 Answer
Arun Kumar
Approved Tutor Answer12 Years agoHello Student,
f(x)=x*e^(-x)+1
=>f(-1)=-e+1 <0
=>f(-1/2)=1/2e^(-1/2)+1 >0
because f(x) is monotonic
=>only one root
=>only one root
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
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