CSolutions Command

CAS Syntax

CSolutions( <Equation> )

Solves a given equation for the main variable and returns a list of all solutions, allowing for complex solutions.

Example: CSolutions(x^2 = -1) yields {ί, -ί}, the complex solutions of x² = -1.

CSolutions( <Equation>, <Variable> )

Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.

Example: CSolutions(a^2 = -1, a) yields {ί, -ί}, the complex solutions of a² = -1.

CSolutions( <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, allowing for complex solutions.

Example: CSolutions({y^2 = x - 1, x = 2 * y - 1}, {x, y}) yields \begin{pmatrix}1 + 2 ί&1 + ί\\1 - 2 ί&1 - ί\end{pmatrix}, the complex solutions of y² = x - 1 and x = 2 * y - 1.

Notes:

• The complex ί is obtained by pressing ALT + i.
• See also CSolve Command and Solutions Command.