How to implement basic algebraic operations (quadratic equations, linear equations) in Go?

To implement basic algebraic operations in Go, you can create functions for quadratic equations and linear equations. Here's an example implementation:

Quadratic Equations:

package main

import (
	"fmt"
	"math"
)

type QuadraticResult struct {
	X1 float64
	X2 float64
}

func solveQuadraticEquation(a, b, c float64) QuadraticResult {
	discriminant := math.Pow(b, 2) - 4*a*c

	if discriminant < 0 {
		return QuadraticResult{}
	} else if discriminant == 0 {
		x := -b / (2*a)
		return QuadraticResult{X1: x, X2: x}
	} else {
		x1 := (-b + math.Sqrt(discriminant)) / (2*a)
		x2 := (-b - math.Sqrt(discriminant)) / (2*a)
		return QuadraticResult{X1: x1, X2: x2}
	}
}

func main() {
	result := solveQuadraticEquation(1, -5, 6)
	fmt.Println("x1 =", result.X1)
	fmt.Println("x2 =", result.X2)
}

In this example, solveQuadraticEquation function takes the coefficients a, b, and c of the quadratic equation ax^2 + bx + c = 0 and returns a QuadraticResult struct containing the solutions x1 and x2. The discriminant is calculated using math.Pow and the square root by math.Sqrt. Based on the value of the discriminant, the function determines if there are real solutions or not.

Linear Equations:

package main

import "fmt"

type LinearResult struct {
	X float64
}

func solveLinearEquation(a, b float64) LinearResult {
	x := -b / a
	return LinearResult{X: x}
}

func main() {
	result := solveLinearEquation(2, 3)
	fmt.Println("x =", result.X)
}

In this example, solveLinearEquation function takes the coefficients a and b of the linear equation ax + b = 0 and returns a LinearResult struct containing the solution x. The solution is calculated by dividing -b by a.

You can use these implementations as a starting point and further extend them to handle additional use cases or error handling as needed.