Write Quadratic Equation

Simple

English UK

Quadratic Equation may be expressed as a product

a(x-x1)(x-x2) = 0,

where x1 and x2 are the solutions of equation, so called roots. After opening the brackets you receive well known form

a*x**2 + b*x + c = 0.

This is what you should do in this mission. You have input list with integers - a, x1 [, x2]. If it has length 2, it means, x1 == x2: equation has two equal roots (one distinct root). Your function should return quadratic equation as a string. Pay attention to specific cases. Use Quadratic Formula Calculator for recheck. Good luck!

Input: List with 2-3 integers.

Output: String.

Examples:

assert quadr_equation([2, 4, 6]) == "2*x**2 - 20*x + 48 = 0"
assert quadr_equation([-2, 4, 6]) == "-2*x**2 + 20*x - 48 = 0"
assert quadr_equation([2, 4, -4]) == "2*x**2 - 32 = 0"
assert quadr_equation([2, 4, 0]) == "2*x**2 - 8*x = 0"

How it’s used: Practice of automatic representing human-friendly view of equations.

Preconditions:

a != 0; abs(a) == 1 -> '[-]x**2'; a != abs(1) - > '[-]a*x**2'
exactly one whitespace around signs: [-]a*x**2 sign b*x sign c = 0
abs(b) == 1 -> [-]a*x**2 sign x sign c = 0
keep correct view and spacing when x1=x2=0, x1 or x2 = 0, x1=-x2

math
string

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