Root Command

Root[ <Polynomial> ]

Yields all roots of the polynomial as intersection points of the function graph and the x‐axis.

Example:

Root[0.1*x^2 - 1.5*x + 5 ] yields A = (5, 0) and B = (10, 0).

Root[ <Function>, <Initial x-Value> ]

Yields one root of the function using the initial value a for a numerical iterative method.

Example:

Root[0.1*x^2 - 1.5*x + 5, 6 ] yields A = (5, 0).

Root[ <Function>, <Start x-Value>, <End x-Value> ]

Let a be the Start x-Value and b the End x-Value . This command yields one root of the function in the interval [a, b] using a numerical iterative method.

Example:

Root[0.1x² - 1.5x + 5, 8, 13] yields A = (10, 0).

CAS Syntax

Root[ <Polynomial> ]

Yields all roots of the polynomial as intersection points of the function graph and the x‐axis.

Example:

Root[x^3 - 3 * x^2 - 4 * x + 12] yields {x = -2, x = 2, x = 3}.

Note:

In the CAS View, this command is only a special variant of Solve Command.