How to make MATLAB find all roots of the equation?

For example, for given equation below, MATLAB checks 2 condition in order to find the 4 different roots.

((x^2)-(7*x)+11)^((x^2)-(13*x)+42)==1

1. Base must be 1

2. Exponent must be 0

But there is one more condition that the exponent can be 2n (even) when base equals (-1) which brings 2 more roots.

So what i want to learn is How can i force MATLAB to checks all conditions and shows each root of the given equation. (Not a condition spesific methods but a global feature that allow MATLAB to consider every condition to get results of all roots).

Btw, solve function returns just first root which 2 in this equation normally. When we force MATLAB to return all the roots, it results 3 more roots which are 5, 6, 7 when 'IgnoreAnalyticConstraints' feature of the solve function is used.

Answer 1

[Amrtanshu Raj]

Hi,

There is currently no method to include the required condition in the solve function to get the roots. I have brought this to the notice of the developers and may be considered for a future release.

Thanks