Solving 1 equation with 1 unknown

Hi, so i have a 11 values

[-0.5,-0.4,-0.3,-0.2,-0.1,0,0.1,0.2,0.3,0.4,0.5]

or -0.5:0.1:0.5

Lets assign these to a variable 'a'

I then have an equation which is as follows;

(125./216)*((1+0.2*((M).^2)).^3)*1./M

I want to simply make 'a' = to this equation for each value of 'a' and solve for M at each 'a' value.

I then want to plot a graph of my the values 'a' against M.

The equation ive used is as follows where the y is equal to 1.4, but ive already simplified this above. Could you please check i have simplified it correct into matlab as i feel it may be wrong

Answer 1

[David Hill]

a=-0.5:0.1:0.5;
for k=1:length(a)
    eqn=@(M)(125/216)*((1+0.2*(M.^2)).^3)./M-a(k);
    sol(k)=fzero(eqn,1);
end
plot(a,sol);