Why the responses of the following equations are nothing?

I'm trying to find aeq from the following equations. There are 3 equations with 3 unknowns. but the final response is empty brackets for all unknowns. Could you help me to solve this equation.

Regards,

syms ae gama A
eq1= (23.4255*(ae^3))+(1.2308e-06*ae)+gama
eq2= (A/(6*23.4255))-((2*1.2308e-06)/A)-ae
eq3= A-((((-108*gama)+(12*(sqrt(3*(((4*(1.2308e-06^2))+(27*(gama^2)*23.4255))/23.4255)))))*(23.4255^2)))^(1/3)

eqs= [eq1, eq2, eq3]
[ae,gama,A]=vpasolve(eqs, [ae,gama,A])


%reported results

ae =
 
[ empty sym ]
 

gama =

     []


A =

     []

Answer 1

[Star Strider]

Use solve then vpa —

syms ae gama A
eq1= (23.4255*(ae^3))+(1.2308e-06*ae)+gama

eq1 = 

eq2= (A/(6*23.4255))-((2*1.2308e-06)/A)-ae

eq2 = 

eq3= A-((((-108*gama)+(12*(sqrt(3*(((4*(1.2308e-06^2))+(27*(gama^2)*23.4255))/23.4255)))))*(23.4255^2)))^(1/3)

eq3 = 

eqs= [eq1, eq2, eq3]

eqs = 

[ae,gama,A]=solve(eqs, [ae,gama,A]);

Warning: Possibly spurious solutions.

ae = vpa(ae,7)

ae = 

gama = vpa(gama,7)

gama = 

A = vpa(A,7)

A = 

Also consider double instead of vpa, depending on the result you want.

.

[Marzieh Nodeh]

Thank you for your response. I tried to do it but I recieved folloeing message:

Warning: 6 equations in 3 variables.

> In C:\Program Files\MATLAB\R2013a\toolbox\symbolic\symbolic\symengine.p>symengine at 56

In mupadengine.mupadengine>mupadengine.evalin at 97

In mupadengine.mupadengine>mupadengine.feval at 150

In solve at 170

Warning: Explicit solution could not be found.

> In solve at 179

And the problem didn't solve.

[Torsten]

I only see three equations.

If you change the problem, you should not complain :-)

[Marzieh Nodeh]

I didn't change the problem.

syms ae gama A
eq1= (23.4255*(ae^3))+(1.2308e-06*ae)+gama
eq2= (A/(6*23.4255))-((2*1.2308e-06)/A)-ae
eq3= A-((((-108*gama)+(12*(sqrt(3*(((4*(1.2308e-06^2))+(27*(gama^2)*23.4255))/23.4255)))))*(23.4255^2)))^(1/3)
eqs= [eq1, eq2, eq3]
 
eq1 =
 
(46851*ae^3)/2000 + (5812288667115959*ae)/4722366482869645213696 + gama
 
 
eq2 =
 
(8796093022208*A)/1236317262550401 - ae - 5812288667115959/(2361183241434822606848*A)
 
 
eq3 =
 
A - ((14480675016937209*(81*gama^2 + 468829135928447625/604153424797493242284363218944)^(1/2))/2199023255552 - (130326075152434881*gama)/2199023255552)^(1/3)
 
 
eqs =
 
[ (46851*ae^3)/2000 + (5812288667115959*ae)/4722366482869645213696 + gama, (8796093022208*A)/1236317262550401 - ae - 5812288667115959/(2361183241434822606848*A), A - ((14480675016937209*(81*gama^2 + 468829135928447625/604153424797493242284363218944)^(1/2))/2199023255552 - (130326075152434881*gama)/2199023255552)^(1/3)]
 
>> [ae,gama,A]=solve(eqs, [ae,gama,A]);
Warning: 6 equations in 3 variables. 
> In C:\Program Files\MATLAB\R2013a\toolbox\symbolic\symbolic\symengine.p>symengine at 56
  In mupadengine.mupadengine>mupadengine.evalin at 97
  In mupadengine.mupadengine>mupadengine.feval at 150
  In solve at 170 
Warning: Explicit solution could not be found. 
> In solve at 179 

[Star Strider]

It obviously worked for me in R2022a.

Perhaps an upgrade from R2013a to R2022a is in order? There have been many significant improvements in the last 9 years.

[Marzieh Nodeh]

Perfect. Thank you very much for your help.

[Star Strider]

My pleasure!

If my Answer helped you solve your problem, please Accept it!

.