randomly generate point satisfying quations

hello, everyone. I wonder if there is any way to randomly generate 50 points satisfying the following equaiton?

[Rik]

Rewrite the formula so you get y as a function of x. Then you can get random x values and get the corresponding y values.

[zilai si]

yes, but i wonder if there are other more convinent ways...

[KSSV]

YOu have any limit on x and y?

[Star Strider]

See also: how to plot symbolic equation

Answer 1

[Alex Mcaulley]

If you have symbolic toolbox:

syms x y
eqn = x.^2+(3/2*y-sqrt(abs(x)))^2 == 3;
z(x) = solve(eqn,y);
xrand = rand(1,100); %Some random numbers
yrand = cell2mat(cellfun(@double,z(xrand),'UniformOutput',false));