//
// function to solve a*x*x + b*x + c = 0
// and print results
//
def roots(a : Double, b : Double, c : Double) = {

  if (a == 0.0) {
    if (b != 0.0) {
      val root = -c/b
      println("root is " + root)
    }
    else {
      println("a and b both zero.  I give up!")
    }
  }
  else if ((b*b - 4*a*c) < 0) {
    println("no real roots")
  }
  else {
    val root1 = (-b + math.sqrt(b*b - 4*a*c))/(2*a)
    val root2 = (-b - math.sqrt(b*b - 4*a*c))/(2*a)
    println("root1 is " + root1)
    println("root2 is " + root2)
  }
}