Linked Questions

3
votes
2answers
2k views

Why doesn't Mathematica solve $x=\cos\,x$ properly? [duplicate]

Why doesn't Mathematica solve x == Cos[x] properly? Both Solve and NSolve fail with the ...
0
votes
3answers
3k views

How do I solve for the roots of $\sin(x) - x^2=0$? [duplicate]

I have defined h[x] := Sin[x] - x^2. When I submit Solve[h[x] == 0, x], Mathematica tells me Solve::nsmet: This system ...
2
votes
1answer
390 views

Why Wolfram|Alpha can solve an equation but not Mathematica? [duplicate]

I want to numerically solve $$\cosh\left(\frac{1}{x}\right)-\frac{1}{x^2}\sinh\left(\frac{1}{x}\right)=0.$$ A strange thing is that Wolfram|Alpha it solves it perfectly, but Mathematica I have this: ...
0
votes
2answers
181 views

Solve $1/a - \sin(1/a)$ [duplicate]

I need to find $a$ from this equation: Solve[(2*b)/a - 1/(n*π)*Sin[(2*n*π*b)/a] - 1/2 == 0, a] but I get the response: Solve::nsmet: This system cannot be ...
2
votes
0answers
135 views

Why can't Mathematica solve this equation? [duplicate]

Possible Duplicate: Can Reduce *really* not solve for x here? Why can't Mathematica solve this equation? ...
0
votes
0answers
68 views

Problem with solving an equation [duplicate]

I dont understand why Mathematica cannot solve this equation: Solve[Log[x^2 + 5] + 0.5 x + 1 == 0, x] I get this error message: Solve::inex: Solve was unable to solve the system with inexact ...
0
votes
0answers
47 views

Closed solutions for `FindRoot`, no solutions for `Reduce` or `Solve` [duplicate]

Reduce, Solve and FindRoot all appear to struggle with this: ...
40
votes
3answers
12k views

How do I work with Root objects?

I want to solve the trigonometric equation : $$(3-\cos 4x )\cdot (\sin x - \cos x ) = 2.$$ I tried Solve[(3 - Cos[4*x])*(Sin[x] - Cos[x]) == 2, x] It returns the ...
16
votes
5answers
736 views

Interlacing a single number into a long list

This seems like it should be a simple question, but I am running into some difficulty in doing this with Mathematica. Right now, I have a list like this: ...
17
votes
5answers
3k views

Solve symbolically a transcendental trigonometric equation and plot its solutions

I currently have the equation below for a beam with a hinge at various locations, the variable a can vary between 0 and 0.5. $$ Tan\left( {a\sqrt \alpha } \right) + Tan\left\{ {\left( {1 - a} \right)\...
5
votes
4answers
5k views

How to solve this logarithmic equation?

The equation $$x^2\cdot\log_2\dfrac{3+x}{10}-x^2\cdot\log_{\frac{1}{2}}(2 + 3x)=x^2 - 4+2\cdot\log_{\sqrt{2}}\dfrac{3x^2+11x+6}{10}$$ has two solutions for x, namely 1 and 2. I tried ...
1
vote
2answers
9k views

Solving simple transcendental equation [duplicate]

I would like to solve Tan[x] == 1/x Solve[] does not work, suggesting that there is no nice analytical solution for x. Surprisingly, NSolve[] does not work ...
1
vote
2answers
4k views

How to obtain all solutions for Cos[x] Cosh[x] == 1?

Both analytical solutions or all numerical solutions are good enough. FindRoot may be a possible solution, any better solution? ...
1
vote
1answer
520 views

How can I find a root of my transcendental equation near a certain point?

What function could I use to solve this equation for x: E^(-x^2) = 1 - Cos[x] I tried Solve, ...
0
votes
0answers
106 views

NSolve/Solve with equations containing periodic functions

I first tried this command: NSolve[(2 Cos[x] Sin[x])/x^2 - (2 Sin[x]^2)/x^3 == 0, x, Reals] which yields "This system cannot be solved with the methods available ...