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```    1 ## DESCRIPTION
2 ##  Financial mathematics: algebra prerequisites
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('financial mathematics', 'algebra')
6 ## JJH tagged this problem.
7
8 ## DBsubject('Financial Mathematics')
9 ## DBchapter('Introduction to Interest')
10 ## DBsection('Algebra Prerequisites')
11 ## Date('5/22/2005')
12 ## Author('Jeff Holt')
13 ## Institution('UVA')
14 ## TitleText1('Financial Mathematics')
15 ## EditionText1('1')
16 ## AuthorText1('Holt')
17 ## Section1('1.0')
18 ## Problem1()
19
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGauxiliaryFunctions.pl",
29 );
30
31 TEXT(beginproblem());
33
34 \$A = random(2,12,1);
35 \$B = random(2,12,1);
36 \$d = non_zero_random(-3,3,1);
37 \$C = \$B + \$d;
38
39
40 TEXT(EV2(<<EOT));
41 Find all values of  \( x \) that satisfy the equation
42  \[\$A x^{-1} + \$B = \$C.\]
43 List the values below, separated by commas.
44
45 \$PAR
46 Values of \(x\) =  \{ans_rule(25) \}
47 \$BR
48 EOT
49
50 \$ans = \$A/(\$C-\$B);
51 ANS(num_cmp(\$ans, tol=>.001));
52
53
54 ENDDOCUMENT();        # This should be the last executable line in the problem.
```