Solve Quadratic Equation for Positive Real Roots

This function solves a quadratic equation of the form `ax^2 + bx + c = 0` and returns only the positive real roots. It handles complex intermediate calculations and returns real numbers if the roots are real.

Usage

quad(a = 3, b = 2, c = -1)

Arguments

a

The coefficient of the x^2 term. Can be complex.

b

The coefficient of the x term.

c

The constant term.

Value

A numeric vector containing the positive real root(s) of the quadratic equation. Returns `numeric(0)` if no positive real roots are found. Returns a single value if both positive roots are identical.

Examples

# Example 1: With specific coefficients
quad(a = 1, b = -3, c = 2) # x^2 - 3x + 2 = 0
#> [1] 2 1