Symbolic Math toolbox does not solve equation

Hello everyone, I am attempting to solve an equation via the Symbolic Math toolbox:
syms a b c d e
solve([a^2 + b*c == d^2, b*c==e*a^2],e)
ans =
Empty sym: 0-by-1
However, I seem to be unable to move the solver to produce the correct soluation (d^2-a^2)/a^2.
What am I doing wrong here, and how should I formulate this problem for the solver to work?
Thank you for every hint on this!

 采纳的回答

Hi,
since you supply two equations, you would also need to solve for two variables.
To let MATLAB do what you did, you could use:
syms a b c d e
s1 = solve(b*c==e*a^2,e);
s2 = solve(a^2 + b*c == d^2, b);
s = simplify(subs(s1, b, s2))
s = 
or
syms a bc d e
s1 = solve(bc==e*a^2,e);
s2 = solve(a^2 + bc == d^2, bc);
s = subs(s1, bc, s2)
s = 
Best wishes,
Harald

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