Tagged Questions
6
votes
2answers
85 views
Why is ToRadicals[] not able to handle all cases? Is there a workaround?
The documentation for the function ToRadicals says:
♦ There are some cases in which expressions involving radicals can in principle be given, but ...
1
vote
1answer
116 views
2
votes
3answers
141 views
Speed up Eliminate
I have a set of trig equations, c1,c2,c3 are constants,
I excepted the result is
c1 c2 c3 r^2 + (c1^2 + c2^2 + c3^2 - 1) r + c1 c2 c3 == 0
but following code ...
-4
votes
1answer
159 views
Solving Det[matrix] == 0 with an 8 x 8 matrix [closed]
I want to solve the equation Det[matrix] == 0 which came from the consistency of solutions of a set of 8 equations. This matrix has two constants λ and μ and two variables $P$ and $q$. I want to get ...
3
votes
1answer
148 views
What do the hashtags represent in the result of Solve, and how should I use them? [duplicate]
There is a function that I'm trying to get the inverse of. My function is a simple polynomial:
Tn[T_] := 4/9 T^3/Tc^2 + 5/9 T
Now I tried to find ...
3
votes
2answers
211 views
Eliminate several variables between five Conic_section equations
I want to eliminate x1, x2, y1, y2 between these 5 equations.
I tried
...
5
votes
4answers
807 views
How to get exact roots of this polynomial?
The equation $$ 64x^7 -112x^5 -8x^4 +56x^3 +8x^2 -7x - 1 = 0 $$
has seven solutions $x = 1$, $x = -\dfrac{1}{2}$ and $x = \cos \dfrac{2n\pi}{11}$, where $n$ runs from $1$ to $5$. With ...
4
votes
1answer
516 views
Reduce an equation by putting a new variable
I have the following equation given:
$$ (26-x)\cdot\sqrt{5x-1} -(13x+14)\cdot\sqrt{5-2x} + 12\sqrt{(5x-1)\cdot(5-2x) }= 18x+32. $$
In order to solve it, I want to substitute $t = \sqrt{5x - ...
3
votes
2answers
2k views
How to convert a system of parametric equations to a normal equation?
For example, I have a system of parametric equations (R is a constant number) :
...
