Write Quadratic Equation
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
