Solve Command
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Commands Solve and Solutions solve an equation or a system of equations over the real numbers symbolically. To solve equations numerically, use the NSolve Command. For solving equations in complex numbers see CSolve Command. |
- Solve( <Equation in x> )
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Solves a given equation for the main variable and returns a list of all solutions.
Solve(x^2 = 4x) yields {x = 4, x = 0}, the solutions of x2 = 4x.
CAS Syntax
The following commands are only available in the 
CAS View.
- Solve( <Equation>, <Variable> )
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Solves an equation for a given unknown variable and returns a list of all solutions.
Solve(x * a^2 = 4a, a) yields {\(a = \frac{4}{x}, a = 0\)}.
- Solve( <Equation in x>, <Assumption> )
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Solves an equation x, conditional on the assumption
Solve(x^2=1, x>0) yields \({x = 1}\)
- Solve( <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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Solve({x = 4 x + y , y + x = 2}, {x, y})yields {{ x = -1, y = 3 }} -
Solve({2a^2 + 5a + 3 = b, a + b = 3}, {a, b})yields {{a = 0, b = 3}, {a = -3, b = 6}}.
- Solve( <Equation>, <Variable> , <List of assumptions>)
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Solves an equation for a given unknown variable with the list of assumptions and returns a list of all solutions.
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Solve(u *x < a,x, u>0)yields {x < a / u}, the solution of u *x < a assuming that u>0 -
Solve(u *x < a,x, {u<0, a<0})yields {x > a / u}.
- Solve( <List of Parametric Equations>, <List of Variables> )
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Solves a set of parametric equations for a given set of unknown variables and returns a list of all solutions.
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Solve({(x, y) = (3, 2) + t*(5, 1), (x, y) = (4, 1) + s*(1, -1)}, {x, y, t, s})yields {{x = 3, y = 2, t = 0, s = -1}}.
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