Form of system

hirnyk — Fri, 12 Mar 2010 16:19:32 Z

Can you present your system as a text? It is more convenient .

Solutions

Robert Israel — Fri, 12 Mar 2010 22:51:59 Z

The equations can be obtained (in Firefox: I'm sure Internet Explorer is similar but maybe with slighly different names) by right-clicking on the images, choosing "Properties" and looking at "Alternate Text".

> Eq1:=55200.0*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^.5*(2.048000000*10^15*a+7.680000000*10^12*b+2.560000000*10^10*c+6.40000000*10^7*d)/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c))-1.177600000*10^12*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2*(4.800000*10^5*a+1200*b+2*c))-1.766400000*10^10*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c)^2) = 0;
  Eq2:= 55200.0*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^.5*(7.680000000*10^12*a+2.880000000*10^10*b+9.60000000*10^7*c+2.400000*10^5*d)/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c))-4.416000000*10^9*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2*(4.800000*10^5*a+1200*b+2*c))-44160000*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c)^2) = 0;
  Eq3:=  55200.0*(1+(3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2)^.5*(2.560000000*10^10*a+9.600000000*10^7*b+320000*c+800*d)/((3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)*(4.800000000*10^5*a+1200*b+2*c))-14720000*(1+(3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2)^1.5/((3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2*(4.800000000*10^5*a+1200*b+2*c))-73600*(1+(3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2)^1.5/((3.20000000*10^7*a+1.200000000*10^5*b+400*c+d)*(4.800000000*10^5*a+1200*b+2*c)^2)+18400*(1+d^2)^1.5/(c^2*d) = 0;
  Eq4:= 55200.0*(1+(3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2)^.5*(6.400000000*10^7*a+2.400000000*10^5*b+800*c+2*d)/((3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)*(4.800000000*10^5*a+1200*b+2*c))-36800*(1+(3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2)^1.5/((3.200000000*10^7*a+1.200000000*10^5*b+400*c+d)^2*(4.800000000*10^5*a+1200*b+2*c))-55200.0*(1+d^2)^.5/c+18400*(1+d^2)^1.5/(c*d^2) = 0;
  sys:= convert({Eq1, Eq2, Eq3, Eq4}, rational); 
  S:= [solve(sys)];

This returns three solutions: two of them have a and b arbitrary, one has c arbitrary. All involve complex numbers. There are no real solutions.

MaplePrimes - answers and comments on Question, How to solve this unknown equations ???

Form of system

Solutions