Linear Roots

linear_roots(first_constant, second_constant, precision=4)

Calculates the roots of a linear function

Parameters

  • first_constant (int or float) – Coefficient of the linear term of the original linear function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

  • second_constant (int or float) – Coefficient of the constant term of the original linear function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

  • precision (int, default=4) – Maximum number of digits that can appear after the decimal place of the resultant roots

Raises

  • TypeError – First two arguments must be integers or floats

  • ValueError – Last argument must be a positive integer

Returns

roots – List of the x-coordinates of all of the x-intercepts of the original function

Return type

list of float

See also

linear_equation(), linear_derivatives(), linear_integral(), linear_model()

Notes

  • Standard form of a linear function: \(f(x) = a\cdot{x} + b\)

  • Linear formula: \(x = -\frac{b}{a}\)

  • Linear Formula

Examples

Import linear_roots function from regressions library
>>> from regressions.analyses.roots.linear import linear_roots
Calculate the roots of a linear function with coefficients 2 and 3
>>> roots_first = linear_roots(2, 3)
>>> print(roots_first)
[-1.5]
Calculate the roots of a linear function with coefficients -2 and 3
>>> roots_second = linear_roots(-2, 3)
>>> print(roots_second)
[1.5]
Calculate the roots of a linear function with all inputs set to 0
>>> roots_zeroes = linear_roots(0, 0)
>>> print(roots_zeroes)
[-1.0]