I am a beginner, can anyone please help me writing a code for this equation to find 'x' using iteration

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SAHIR AZMI
SAHIR AZMI 2020-11-26
回答： Walter Roberson 2020-11-26
I am a beginner, can anyone please help me writing a code for this equation to find 'x' using iteration......
Answer is something approximately 10.59

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回答（2 个）

Ameer Hamza
Ameer Hamza 2020-11-26
You can use fzero()
eq = @(x) gamma(1+2./x)./gamma(1+1./x).^2 - 1 - (4.56/40)^2;
x0 = 10;
sol = fzero(eq, x0)
Result
>> sol
sol =
10.5865
Walter Roberson
Walter Roberson 2020-11-26
Ran in:
That looks like homework.
syms x
lhs = 1 + sym(4.56)^2/sym(40)^2;
rhs = gamma(1+2/x) / gamma(1+1/x)^2
rhs = 
fplot([lhs-rhs,0], [-20 -5])
fplot([lhs-rhs,0], [-0.75 -0.6])
%fplot([lhs-rhs,0], [-0.5 -0.01])
fplot([lhs-rhs,0], [2.5 20])
There might also be a crossing close to 0, but the plot near there takes too much execution time for me to demonstrate it.

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