Solving an equation on MATLAB

Hi everybody. I have an equation like this:

(5+x)^2/15+(x-4)^2/10=100

Can MATLAB solve this equation directly? If it can not do this, how can i achieve this problem?

Thanks

Answer 1

[Rahul Kalampattel]

Can be solved using the symbolic toolbox, https://au.mathworks.com/help/symbolic/solve.html.

[Volkan Yangin]

How can i add this toolbox on my MATLAB?

[Star Strider]

You can use fzero and a a loop to get (and plot) both roots:

f = @(x) (5+x).^2/15+(x-4).^2/10 - 100;

x0 = [-100  100];
for k1 = 1:length(x0);
    rts(k1) = fzero(f, x0(k1))
end

x = linspace(-100, 100);

figure(1)
plot(x, f(x),'-m',  rts, f(rts), 'pg')
grid

[Volkan Yangin]

Star Strider you are my HERO. Thanks a lot.

[Star Strider]

As always, my pleasure!