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Question: Solve a system of algebraic equations

Question:Solve a system of algebraic equations

fibonacci88 10 Maple 15
solve
June 26 2018
2

I want to solve the following algebraic equation system using solve command. But, it gives only the trivial solution. I want to find a,b and c in terms of k. k is a constant here. Thanks in advance.

Input:

solve({-6*c+(3/2)*c^2-2*b-3*b*c+(3/2)*b^2-3*a*c+(k^2)*b-b+(3/2)*(a^2)+(k^2)*a-a=0,
-2*b-3*b*c+3*(b^2)-6*a*c+2*(k^2)*c-2*c-9*a*b+3*(k^2)*b-3*b+6*(a^2)+4*(k^2)*a-4*a=0,
(3/2)*(b^2)-3*a*c+(k^2)*c-c-9*a*b+3*(k^2)*b-3*b+9*(a^2)+6*(k^2)*a-a=0, 
-3*a*b+(k^2)*b-b+6*(a^2)+4*(k^2)*a-4*a=0, 
(3/2)*(a^2)+(k^2)*a-a=0},{a,b,c});

Output:

{a=0, b=0, c=0}

 
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