# how to solve an equation with two unknowns

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fatima alansari on 14 Jul 2019
Answered: Jyotsna Talluri on 17 Jul 2019
Hello,
I have this equation
y = (n*p)*(1-p)^(n-1);
I want to take the derivative and let it equal to zero to find out p, which should be 1/n as a result!
I could get the derivative for this equation manually and using MATLAB, the result is:
dydp = n*(1 - p)^(n - 1) - n*p*(n - 1)*(1 - p)^(n - 2))
However, I couldn't solve it as the way mentioned above to find p!
p = 1/n, i could do it manually. How can i find it using MATLAB??
Regards

Image Analyst on 14 Jul 2019
Hints: fsolve(), fzero(), roots(). Is this homework?
fatima alansari on 14 Jul 2019
Yes, to find the efficiency of Slotted ALOHA protocol. It is a multiple access protocol, used in networking.
Thenk you. I'll try these functions
Image Analyst on 14 Jul 2019

Jyotsna Talluri on 17 Jul 2019
Hi,
For solving the equation with 2 variables,you can use the solve() function
syms n
syms p
p=solve(n*(1 - p)^(n - 1)-n*p*(n - 1)*(1 - p)^(n - 2)==0,p);