Solutions Command

This command works in CAS View only.

Solutions[ <Equation> ]

Solves a given equation (or a set of equations) for the variable x and returns a list of all solutions.

Example:

Solutions[x^2 = 4x] returns{4, 0}, the solutions of x² = 4x.

Solutions[ <Equation>, <Variable> ]

Solves an equation (or a set of equations) for a given unknown variable (or set of variables) and returns a list of all solutions.

Example:

Solutions[{x = 4 x + y , y + x = 2}, {x, y}] gives ( -1 3 ), the sole solution of x = 4x + y and y + x = 2.

Example:

Solutions[{2a^2 + 5a + 3 = b, a + b = 3}, {a, b}] returns \left (\begin{array}{cc} 0&3\\ -3&6\\ \end{array}\right) , the two solutions {0,3} and {-3,6}.

Note: See also Solve Command.