Solutions Command

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This command works in CAS View only.

Solutions[ <Equation> ]
Solves a given equation for the main variable and returns a list of all solutions.
Example:
Solutions[x^2 = 4x] yields {4, 0}, the solutions of x2 = 4x.
Solutions[ <Equation>, <Variable> ]
Solves an equation for a given unknown variable and returns a list of all solution.
Example:
Solutions[x * a^2 = 4a, a] yields \{\frac{4}{x},0\}, the solutions of x a2 = 4a.
Solutions[ <List of Equations>, <List of Variables> ]
Solves a set of equations for a given set of unknown variables and returns a list of all solutions.
Example:
  • Solutions[{x = 4 x + y , y + x = 2}, {x, y}] yields {{-1, 3}}, the sole solution of x = 4x + y and y + x = 2, displayed as \begin{pmatrix} -1&3 \end{pmatrix}.

    • Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}] yields {{0, 3}, {-3, 6}}, displayed as \begin{pmatrix} 0&3\\ -3&6

      \end{pmatrix}
      .
Note: See also Solve Command.
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