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understanding MATLAB method in long equation

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Abdullah Sultan
Abdullah Sultan 2021-12-15
评论： Abdullah Sultan 2021-12-16
this the orginal equation
and this is the equation code
fn= 1/sqrt(5) * ( ( (1+sqrt(5)) / 2 )^n - (1-sqrt(5)/2).^n )
just to understand matlab proccess, why in the first (1+sqrt(5)) part we should put () more than the second part (1-sqrt(5)/2) even though they are the same side
to be more clear I make the () bold to mention why here we should make more () the other side
fn= 1/sqrt(5) * ( ( (1+sqrt(5)) / 2 )^n - (1-sqrt(5)/2).^n )

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Voss
Voss 2021-12-15
编辑：Voss 2021-12-15
The 1-sqrt(5) needs parentheses around it too.
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Voss
Voss 2021-12-15
编辑：Voss 2021-12-15
(1+sqrt(5)) / 2 means: add 1 to the square root of 5 and divide the result by 2.
1+sqrt(5) / 2 means: divide the square root of 5 by 2 and add one to the result.
The parentheses are necessary to treat the whole expression 1+sqrt(5) as the numerator of a fraction in the equation.
Abdullah Sultan
Abdullah Sultan 2021-12-16
thank you again , your explanation is very useful ,
best regards

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