How to solve an equation with a vector as unknown?

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."

Answer 1

[Lu Da Silva]

I solved it with this code:

syms X
eqn = M == X * sqrt((X-A)^2 + B^2);
sol = arrayfun(@vpasolve,eqn,'uniform',0);