Solve a*x + x*(b^x) + c = 0
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Hello all,
I have troubles while solving equation which is given below symbolically. Could anyone guide me? Thanks in advance.
a*x + x*(b^x) + c = 0
Best regards,
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David Goodmanson
2021-1-25
Hi Omer,
It seems highly unlikely that there is an explicit symbolic solution for x. Already the solution to a simpler problem, that of solving
x*exp(x) = z
for x, can only be expressed in terms of the lambertw function, x = lambertw(z). A numerical lambertw function is part of Matlab.
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Steven Lord
2021-1-25
I'm doubtful that you'll be able to find a general symbolic solution. Substitute numeric values in for a, b, and c and use fzero.
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