Solving Equations


In[15]:= Solve[(x+2)^2 == a, x]
                -4 + 2 Sqrt[a]         -4 - 2 Sqrt[a]
Out[15]= {{x -> --------------}, {x -> --------------}}
                      2                      2

In[16]:= Solve[x^3 - 3x^2 -4x + 12 == 0, x]
Out[16]= {{x -> -2}, {x -> 3}, {x -> 2}}

In[18]:= Solve[{a x + b y == 1, x + y == 2}, {x, y}]
                    1        2 b           1       2 a
Out[18]= {{x -> -(------) + ------, y -> ------ - ------}}
                  -a + b    -a + b       -a + b   -a + b

In[19]:= Solve[x^2 + 1 == 0, x]
Out[19]= {{x -> I}, {x -> -I}}

In[36]:= NSolve[x^4 + 1 == 0, x]
Out[36]= {{x -> 0.707106781186548 + 0.707106781186548 I}, 
>    {x -> -0.707106781186548 + 0.707106781186548 I}, 
>    {x -> -0.707106781186548 - 0.707106781186548 I}, 
>    {x -> 0.707106781186548 - 0.707106781186548 I}}

In[24]:= FindRoot[Cos[x] == x, {x, 1}]
Out[24]= {x -> 0.739085}

http://math.arizona.edu/~swig/documentation/mathematica/solve_eqns.php
Last modified: Fri, 14 Dec 2007 15:50:52 -0700
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