Find the nonlinear Equation roots in such way that should have at least one same solution to the quadratic equation?

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Q- Find the nonlinear Equation roots in such way that should have at least one same solution to the quadratic equation?

 

Where the variables used as follow:

 P= (0.23); % concentration value

er1= (1+1.8*10^14*1i); % Complex relative Permittivity of Phase 1

er2= (2.5+2.5*10^-3*1i); % Complex relative Permittivity of Phase 2

Hc1= (10^6); % HC critical magnetic field

H= [0, 2.5*10^4, 5.0*10^4, 7.5*10^4, 1*10^5, 1.3*10^5, 1.5.*10^5]; % average value of magnetic field strength.

Pc= (0.33).*exp (-abs (H)/Hc1); % percolation threshold Equation

c1= (1-3*Pc).*(((P). / (Pc)). ^Pc).*(((1-P)./(1-Pc)).^(1-Pc)); % approximation of Sarychev and Vinogradov

 

 

 

   percolation threshold Equation

 

 approximation of Sarychev and   Vinogradov

 

 

 

 

 

 

Nonlinear Equation wanted root solution

 

 

 

 

 

 

Quadratic Equation

 

The nonlinear equation should have two root solution one correct and one wrong!!!!

The Quadratic Equation Have One solution!!!!!

 

The both equation should share the same root solution 


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