A message from our CEO about the future of Stack Overflow and Stack Exchange. Read now.

# All Questions

154 questions
Filter by
Sorted by
Tagged with
208 views

### Eliminating variables from system of equation using Eliminate or Solve

I have a system of equations for algebraic curve given by the zero locus of some polynomial encoded in the system of equations (I want to eliminate variable z and get algebraic curve in terms of x and ...
61 views

### Solving this system of two algebraic equations

I'd like to find symbolically the common roots of two polynomial of second order in X and Y. Though this is not possible in general, with the present coefficients, MMA manages to output a result. <...
149 views

### Find Root condition for polynomial

I have the following 12-th order polynomial in $\lambda$ with a parameter dependency in $u$: ...
249 views

### Rationalizing expression with Roots v2

I want to generalize the answer from my previous question: Rationalizing expressions with Roots, so I want to rationalize a very ugly expression that I can't paste here since it's way too long so I ...
160 views

### Rationalizing expressions with Roots

I'm looking for a way to rationalize a very ugly expression given by the code I pasted in. What do I mean by this? The expression is a solution to the zero locus of some polynomial. In my previous ...
136 views

### Coefficients of Knuth's “Convolution Polynomials”

Donald E. Knuth gives in his paper Convolution Polynomials the code ...
356 views

### Homotopy Continuation solution of system of polynomials

I have very large systems (>20) of polynomial (max degree 3) equations that I would like to find a solution to. I'm not interested in all solutions as presumably there are too many (a huge number ...
91 views

### When does Root have a third argument

In Mathematica "11.0.1 for Microsoft Windows (64-bit) (September 20, 2016)", Root[#^4 + 1 &, 2]; actually has three arguments, as can be seen from ...
2k views

I need to find an explicit expression in radicals for the real root of the quintic equation ...
414 views

### Solve polynomial for coefficients in a range

I want to create a list of all roots of quadratics with coefficients in a range of $-5$ to $5$ I tried this : NSolve[Range[-5,5]*z^2+Range[-5,5]*z+Range[-5,5] == 0]...
115 views

### solving of a polynomial equation with large coefficients

m trying to solve a polynomial equation with degree 4.. i have given the code below.. but it's taking too long and at the end shows a message that it has exceeded the time limit.. please help ...
3k views

### How can I find the roots for $x^4-18x^2-8x+21$ in a nice form?

I'm trying to find the roots for $x^4-18x^2-8x+21$. Theoretically, one can show that it has four real roots. But the following line returns four complicated forms including complex numbers. Is there ...
94 views

### Polynomial root [closed]

How can I find the root of a polynomial with FindRoot? I do not understand what to put in the 2nd argument. I want to find the values that cancel this polynomial: <...
122 views

### Transformation of variables in function in mathematica

How do i change variables of function in mathematica ? for example of f(p,q) = p^3 + q^3, from p,q to x= p-q and y = p+q, so that the function now becomes f(x,y) ?
92 views

### Roots of cubic polynomial when a coefficient is an infinite list

I would like to have an expression of the roots of a cubic equation of the type $x^3+ \gamma x^2 + kx = f(k)$ where $\gamma \in [0,1]$, $k$ is an integer and where $f(k) = \{|k|,|k|+2, |k|+4,...\}$. I ...
217 views

### Factorization of a fractional multivariate polynomial

Suppose I have given a fractional multivariate polynomial ...
148 views

### Can Root function be replaced by the roots from the Solve function? [duplicate]

I am using Mathematica to integrate a complicated expression however the integration gives an answer containing these there terms ...
75 views

### solving a system of polynomial functions with arbitrary length

I am trying to solve a system of polynomial functions: $$x^T T_1 X = x_1 , \\ x^T T_2 x = x_2,\\ \vdots\\x^T T_l x =x_l$$ where $\{T_i\}$ is a given set of $l \times l$ matrices And I require a ...
128 views

### Can I absolutely rely on CountRoots and RootIntervals?

I have some polynomials of high degree with coefficients of the form a + b Sqrt[5] where a, b...
337 views