NSolutions Command

CAS Syntax

NSolutions[ <Equation> ]

Attempts (numerically) to find a solution for the equation for the main variable. For non-polynomials you should always specify a starting value (see below)

Example:
NSolutions[x^6 - 2x + 1 = 0] yields {0.51, 1} or {0.508660391642, 1} (the number of decimals depends on the choosen in global rounding)

NSolutions[ <Equation>, <Variable> ]

Attempts (numerically) to find a solution of the equation for the given unknown variable. For non-polynomials you should always specify a starting value (see below)

Example:

NSolutions[a^4 + 34a^3 = 34, a] yields {a = -34.00086498588374, a = 0.9904738885574178}.

NSolutions[ <Equation>, <Variable = starting value> ]

Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value.

Examples:

• NSolutions[cos(x) = x, x = 0] yields {0.74}
• NSolutions[a^4 + 34a^3 = 34, a = 3] yields the list {-34, 0.99}.

NSolutions[ <List of Equations>, <List of Variables> ]

Attempts (numerically) to find a solution of the set of equations for the given set of unknown variables.

Example:
NSolutions[{pi / x = cos(x - 2y), 2 y - pi = sin(x)}, {x = 3, y = 1.5}] yields the list {3.14, 1.57}

Note:

• If you don't give a starting point like a=3 or {x = 3, y = 1.5} the numerical algorithm may find it hard to find a solution (and giving a starting point doesn't guarantee that a solution will be found)
• The number of decimals depends on the choosen in global rounding.
• NSolutions won't work for functions that are asymptotic to the x-axis. They can often be reformulated though
• See also Solutions Command and NSolve Command.