How to solve an equation with a vector as unknown?

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I have the following equation:
M = X * sqrt((X-A)^2 + B^2)
A and B are constants but M is a vector containing 100 values. I'm trying to find the corresponding 100 values for X.
I tried using vpasolve but I get the error "More equations than variables is only supported for polynomial systems."

Accepted Answer

Lu Da Silva
Lu Da Silva on 14 Nov 2021
I solved it with this code:
syms X
eqn = M == X * sqrt((X-A)^2 + B^2);
sol = arrayfun(@vpasolve,eqn,'uniform',0);

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