How to solve equation with n data and select the maximum value of each answer?

I have a vector(A) with 2000 different values(1*2000).

I want to solve equation below and for each value of A I have two different answers and maximum value is desired. so I want 2000 answer for x.

(A/x)+x-200=0

The codes below has been used, but gives me wrong answer :

syms x

for i=1:2000;

eqn(1,i)=(A(1,i)/x)+x-200==0

answer(1,i)=max(solve(eqn(1,i),x)

end

can you please advise?

thank you

Answer 1

[Torsten]

answer(1,:) = 100 + sqrt(100^2-A(1,:));

Best wishes

Torsten.

[Amin Gan]

Thank you

Answer 2

[Andrei Bobrov]

n = numel(A);
out = zeros(n,1);
for jj = 1:n
    out(jj) = max(roots([1 -200 A(jj)]));
end

[Amin Gan]

Thank you.