Solve an equation through iteration in Matlab

Hi, I am trying to solve the following 750 = x^4 + x in matlab using iteration

I want Matlab to display the values it obtains for x, I have tried to use a for loop but with no luck.

Would anyone be able to help out with a basic code I would need.

Kind regards

Answer 1

[David Hill]

function b = Solution(a,b)%a and b must bound the solution (a=5.2, b=5.3)
f=@(x)x^4+x-750;
while f(b)>.000001%whatever accuracy you want here
    if f((a+b)/2)<0%this is a simple half slitting technique
        a=(a+b)/2;
    else
        b=(a+b)/2;
    end
end

[kasim]

Hi David,

When running the code, I am getting the following error:

Error in untitled2 (line 5)

while f(b)>.000001%whatever accuracy you want here

[David Hill]

Works perfectly for me. Did you set it up as a function? If not, you need to assign values to a and b.

a=5.2;
b=5.3;
f=@(x)x^4+x-750;
while f(b)>.000001%whatever accuracy you want here
    if f((a+b)/2)<0%this is a simple half slitting technique
        a=(a+b)/2;
    else
        b=(a+b)/2;
    end
end