I have to write a program to find any root of any number using only +, -, /, and *. The root should be the exact root or as close as 0.0000001 or -0.0000001. Here is what i came up with so far, but this doesn't work for all roots. If anyone could please improve it so it can produce the desired results, i will greatly appreciate it.
Thanks.
(you can email me at mustafacenter@ioip.com)

Here is the code:
{
double x = 0;
int y = 0;
double z = 0;

cout<<"enter x"<<endl;
cin>>x;
cout<<"enter y"<<endl;
cin>>y;
double max = x;
double min = 1;
int flag = 0;
double guess = 0;
while(flag != 1)
{
z = (min+max)/2;
guess = z;
cout << "guess = " << guess;
for (int i = 0; i<y; i++)
{
guess = guess*z;
}
cout << "\nResult = " << guess;
if(((guess - x) >= -0.0000001) && ((guess - x) <= 0.0000001))
{
flag = 1;
cout << "\nThe " << y << "th root of " << x << " is: " << z << endl;
}
else
if (guess > x)
{
cout << "\nGuess is too big, changing: " << z << endl;
max = z;
}

else
{
cout << "\nGuess is too small, changing: " << z << endl;
min = z;
}
cout << "\nFlag = " << flag << endl;
}
}