Question: Find root using fsolve or solve command



restart:

H:=7.1;C:=1.96;k:=4;R:=45;Pei:=12.2;Theta0:=14;Q:=0.5;

(1)

A3:=(Q*(R*S+1-S)*(H-H*exp(-Pei)+1)*exp(-k*Pei*S/(C*(R*S+1-S)))/(1-exp(-Pei))-H)*(1-exp(-(Pei*(1-S))/(R*S+1-S)))=1;

(2)

plot({lhs(A3),rhs(A3)},S=0..1,color=[red,black],thickness=2);

 

eqn3:=solve(A3,S);

(3)

fsolve(A3,S=0..1);

(4)

 

The plot shows that the equation has two roots for the given data but the two commands (solve and fsolve) does not show the second root.

PLease help me to solve the problem.

Thanks.

Download test1.mws

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