Divide/Square root Polynomials using Lua

function dpol(variable1,variable2,variable3,variable4)
    if variable2 == x then
        var = variable3 - variable1
        var1 = var*variable1
        var2 = var*variable1
        if var1 == variable4 then
            if var >= 0 then
                print("X + "..var)
            else
                print("X "..var)
            end
        else
            if var >= 0 then
                print("X + "..var.." R: "..variable4-var2)
            else
                print("X "..var.." R: "..variable4-var2)
            end
        end
    else
        var = varaible3 - variable1
        coefficient = variable2
        var1 = var*variable1
        var2 = var
    end
end
function sqpol(variable1,variable2,variable3)
    if variable1 == x then
        var = math.sqrt(variable3)
        if var+var == variable2 then
            print("X + "..var)
        else
            return print("Unable to calculate.")
        end
    else
        varx = variable3*variable1
        var = math.sqrt(varx)
        if var+var == variable2 then
            print(variable1.."X + "..var)
        else
            return print("Unable to calculate.")
        end
    end
end
function impossipol1(variable1,variable2,variable3,variable4,variable5)
    if variable2 == x then
        var1 = "X^2"
        var2 = variable1*1
        var3 = variable3-var2
        var4 = var3*variable1
        var5 = variable4-var4
        var6 = var3-var3
        if var6 == 0 then
                print(var1.." + "..var3.."x + "..variable5/variable1)
            end
        end
end
--sqpol() Rewrite this under these lines and insert the numbers you desire. If the numbers are calculable then it will produce the correct result.
--dpol() Rewrite this under these lines and insert the numbers you desire. All numbers are calculable.
--impossipol1() Rewrite this under these lines and insert the numbers you desire, variable2 must be "x", all numbers work...