Solutions Command
Starting from version 823 this command behaves as Solve command, except for the format of the result: command Solutions returns a list of values, while command Solve returns a list of equations in the form variable name = value. |
- Solutions( <Equation> )
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Solves a given equation for the main variable and returns a list of all solutions.
Solutions(x^2 = 4x)
yields {0, 4}.
CAS Syntax
- Solutions( <Equation>, <Variable> )
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Solves an equation for a given unknown variable and returns a list of all solutions.
Solutions(x * a^2 = 4a, a)
yields {\(\frac{4}{x},0\)}.
- Solutions( <List of Equations>, <List of Variables> )
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Solves a set of equations for a given set of unknown variables and returns a list of all solutions.
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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 {{-3, 6}, {0, 3}}, displayed as \(\begin{pmatrix}-3&6\\0&3\end{pmatrix}\).
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