# NSolutions Command

From GeoGebra Manual

The following commands are only available in the CAS View.

- 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.
- NSolutions will work only if the function is continuous
- See also Solutions Command and NSolve Command.