unknown equations

roman_pearce — Sun, 21 Mar 2010 23:29:14 Z

Wow, these equations really are unknown. Can you try reposting them in text format. Use the lprint command in Maple to print the equations as text.

solve

Robert Israel — Mon, 22 Mar 2010 00:14:00 Z

Getting the equations using "Image Properties":

>  e1:= 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; 
> e2:= 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; 
> e3:= 55200.0*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^.5
*(2.560000000*10^10*a+9.60000000*10^7*b+320000*c+800*d)/((3.20000000*10^7*a
+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c))-14720000*(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))-73600*(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)+18400*(1+d^2)^1.5
/(c^2*d) = 0;
> e4:=  55200.0*(1+(3.20000000*10^7*a+1.200000*10^5*b+400*c+d)^2)^.5*
(6.40000000*10^7*a+2.400000*10^5*b+800*c+2*d)/((3.20000000*10^7*a
+1.200000*10^5*b+400*c+d)*(4.800000*10^5*a+1200*b+2*c))-36800*(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))-55200.0*(1+d^2)^.5
/c+18400*(1+d^2)^1.5/(c*d^2) = 0;
> eqs:= convert({e1,e2,e3,e4},rational);
> S:= solve(eqs);
  map(allvalues, [S]);

[{a = a, b = b, c = -80000*a-300*b, d = I}, {a = a, b = b, c = -80000*a-300*b, d = -I}, {a = a, b = b, c = -1/200*I-80000*a-300*b, d = I}, {a = a, b = b, c = 1/200*I-80000*a-300*b, d = -I}, {a = 1/32000000*2^(1/2)+1/80000*c+1/16000000*I, b = -1/150*c-1/80000*2^(1/2)-1/40000*I, c = c, d = 1/2*2^(1/2)}, {a = 1/32000000*2^(1/2)+1/80000*c-1/16000000*I, b = -1/150*c-1/80000*2^(1/2)+1/40000*I, c = c, d = 1/2*2^(1/2)}, {a = -1/32000000*2^(1/2)+1/80000*c+1/16000000*I, b = -1/150*c+1/80000*2^(1/2)-1/40000*I, c = c, d = -1/2*2^(1/2)}, {a = -1/32000000*2^(1/2)+1/80000*c-1/16000000*I, b = -1/150*c+1/80000*2^(1/2)+1/40000*I, c = c, d = -1/2*2^(1/2)}]

Actually the last four are not really solutions, because they make 480000.0000*a+1200*b+2*c = 0 and thus lead to a division by 0 in the equations.

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

unknown equations

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