ANSWERS TO THE FINAL EXAMINATION NOV 1998

1. (a) true
   (b) false
   (c) true
   (d) true

2. int .., k,         ->  int ..  k;
   do {  }            ->  do { .. } while (...);
   if(0=i) then ..    ->  if(0==i) j = 2;
   case(k) { ...      ->  switch(K) {  case 1: i = 1;
                                       case 2: i = 5; 
     dedault          ->              default: ...
                                    }

3.
1: 1, 0
2: 0.000000, 0.000000, 4.000000
3: 0
3: -1
4: -1
5: 1 2 1
6: 2 2 1
7: 2 2 -3
8: 1.000000 1.000000

4.
   y = ((5+1)*(5+1)*(5+1));

5.
I
the
T
e

6.
double fabs(double x)
{
   return (x>=0) ? x : -x;
}

#include <float.h>
double square_root(double x)
{
   double g = 1.0;
   while( fabs((g*g-x)/x) > DBL_EPSILON) {
     g = 0.5*(x/g + g);
   }
   return g;
}

#include <stdio.h>
main()
{
   double a, b, c, d, x1, x2, r, y;

   printf("enter coefficients a, b, c for quadratic equation:\n");
   scanf("%lf%lf%lf", &a, &b, &c);

   d = b*b - 4*a*c;
   if (d>=0) {
      x1 = (-b + square_root(d))/(2*a);
      x2 = (-b - square_root(d))/(2*a);
      printf("two real roots are %f and %f.\n", x1, x2);
   } else {
      r = -b/(2*a);
      y = square_root(-d)/(2*a);
      printf("two complex roots are %f + %fi and %f - %fi.\n", 
        r, y, r, y);
  }
}

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