MOS differential pair

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STOIKOV

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I'm trying to deduce the differential output current of a MOS differential pair, but have doubt in one step (showed in the picture).

Could please give me some advise ? Thanks.
 

By solving the quadratic equation in which Id1 is the only variable, you can get the result.
 

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    STOIKOV

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ok thanks, now already got ID by hand with general quadratic formula.

How can a variable be found in matlab by just intoducing the coefficients a,b,c of a quadratic equation, like this equation ?
 

for example:
a=(a number); b=(a number); c=(a number);
y=roots([a b c])

or y(1)=(-b+sqrt(b^2-4*a*c))/(2*a);
y(2)=(-b-sqrt(b^2-4*a*c))/(2*a);

As you wish :)
 

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