NSolutions Command

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)

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)

CAS Syntax

The following syntaxes are only available in the Menu view cas.svg CAS View.

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)

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.

  • NSolutions(cos(x) = x, x = 0) yields {0.74}

  • NSolutions(a^4 + 34a^3 = 34, a = 3) yields the list {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.

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

  • 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.

  • NSolutions will work only if the function is continuous

  • See also Solutions Command and NSolve Command.